Rank and Generator of elliptic curve E : y2=x(x2-g2)
(1 <= g <= 100)
| g2 | g | rank | x | y | z | height | minimal |
| -1 | 1 | 0 |
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| -4 | 2 | 0 |
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| -9 | 3 | 0 |
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| -16 | 4 | 0 |
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| 0,0,0,-1,0 |
g | -25 | 5 | 1 | -4 | -6 | 1 | 1.89948 |
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g | -36 | 6 | 1 | -3 | -9 | 1 | 0.888626 |
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g | -49 | 7 | 1 | 336 | -980 | 27 | 2.98888 |
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| -64 | 8 | 0 |
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| 0,0,0,-4,0 |
| -81 | 9 | 0 |
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| 0,0,0,-1,0 |
| -100 | 10 | 0 |
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| -121 | 11 | 0 |
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| -144 | 12 | 0 |
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g | -169 | 13 | 1 | -180 | 1938 | 125 | 5.83251 |
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g | -196 | 14 | 1 | 18 | -48 | 1 | 2.13412 |
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g | -225 | 15 | 1 | -30 | -225 | 8 | 1.49134 |
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| -256 | 16 | 0 |
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| 0,0,0,-1,0 |
| -289 | 17 | 0 |
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| -324 | 18 | 0 |
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| 0,0,0,-4,0 |
| -361 | 19 | 0 |
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| -400 | 20 | 1 | -4 | -6 | 1 | 1.89948 | 0,0,0,-25,0 |
g | -441 | 21 | 1 | -126 | -441 | 8 | 1.66146 |
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g | -484 | 22 | 1 | -2695 | 2541 | 125 | 4.25314 |
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g | -529 | 23 | 1 | 74443824 | 287596140 | 2352637 | 10.3679 |
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| -576 | 24 | 1 | -3 | -9 | 1 | 0.888626 | 0,0,0,-36,0 |
| -625 | 25 | 0 |
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| 0,0,0,-1,0 |
| -676 | 26 | 0 |
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| -729 | 27 | 0 |
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| 0,0,0,-9,0 |
| -784 | 28 | 1 | 336 | -980 | 27 | 2.98888 | 0,0,0,-49,0 |
g | -841 | 29 | 1 | -63700 | 6930 | 2197 | 8.84371 |
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g | -900 | 30 | 1 | -6 | -72 | 1 | 1.34823 |
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g | -961 | 31 | 1 | 446400 | -11032280 | 729 | 7.40048 |
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| -1024 | 32 | 0 |
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| 0,0,0,-4,0 |
| -1089 | 33 | 0 |
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g | -1156 | 34 | 2 | -2 | -48 | 1 | 2.51296 |
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| 3332 | -18207 | 64 | 4.13718 |
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| -1225 | 35 | 0 |
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| -1296 | 36 | 0 |
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| 0,0,0,-1,0 |
g | -1369 | 37 | 1 | -255780 | 32672766 | 3048625 | 13.5654 |
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g | -1444 | 38 | 1 | -137275 | 1712223 | 15625 | 7.22862 |
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g | -1521 | 39 | 1 | -36 | -90 | 1 | 2.89032 |
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| -1600 | 40 | 0 |
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| 0,0,0,-100,0 |
g | -1681 | 41 | 2 | -3280 | 20172 | 125 | 3.46012 |
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| 361620 | -1023729 | 8000 | 6.40991 |
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| -1764 | 42 | 0 |
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| -1849 | 43 | 0 |
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| -1936 | 44 | 0 |
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| 0,0,0,-121,0 |
| -2025 | 45 | 1 | -4 | -6 | 1 | 1.89948 | 0,0,0,-25,0 |
g | -2116 | 46 | 1 | 242 | -3696 | 1 | 4.53061 |
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g | -2209 | 47 | 1 | 1035508142016 | 17682275119320 | 3463512697 | 16.562 |
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| -2304 | 48 | 0 |
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| 0,0,0,-9,0 |
| -2401 | 49 | 0 |
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| 0,0,0,-1,0 |
| -2500 | 50 | 0 |
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| 0,0,0,-4,0 |
| -2601 | 51 | 0 |
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| -2704 | 52 | 1 | -180 | 1938 | 125 | 5.83251 | 0,0,0,-169,0 |
g | -2809 | 53 | 1 | -6886171712420 | 50101876246422 | 210114283625 | 21.5853 |
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| -2916 | 54 | 1 | -3 | -9 | 1 | 0.888626 | 0,0,0,-36,0 |
g | -3025 | 55 | 1 | 1250 | 14625 | 8 | 4.97176 |
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| -3136 | 56 | 1 | 18 | -48 | 1 | 2.13412 | 0,0,0,-196,0 |
| -3249 | 57 | 0 |
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| -3364 | 58 | 0 |
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| -3481 | 59 | 0 |
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| -3600 | 60 | 1 | -30 | -225 | 8 | 1.49134 | 0,0,0,-225,0 |
g | -3721 | 61 | 1 | -4551105780 | 20556753594 | 88121125 | 16.6107 |
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g | -3844 | 62 | 1 | 2852046 | 42110880 | 12167 | 10.799 |
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| -3969 | 63 | 1 | 336 | -980 | 27 | 2.98888 | 0,0,0,-49,0 |
| -4096 | 64 | 0 |
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| 0,0,0,-1,0 |
g | -4225 | 65 | 2 | -780 | -8450 | 27 | 2.37365 |
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| -16 | -252 | 1 | 4.27794 |
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| -4356 | 66 | 0 |
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| -4489 | 67 | 0 |
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| -4624 | 68 | 0 |
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| 0,0,0,-289,0 |
g | -4761 | 69 | 1 | 172224 | -723672 | 2197 | 5.57076 |
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g | -4900 | 70 | 1 | -1050 | -9800 | 27 | 2.06466 |
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g | -5041 | 71 | 1 | 2811600 | -129150420 | 1331 | 8.20386 |
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| -5184 | 72 | 0 |
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| 0,0,0,-4,0 |
| -5329 | 73 | 0 |
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| -5476 | 74 | 0 |
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| -5625 | 75 | 0 |
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| 0,0,0,-9,0 |
| -5776 | 76 | 0 |
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| 0,0,0,-361,0 |
g | -5929 | 77 | 1 | -314608 | 194775 | 4096 | 8.28897 |
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g | -6084 | 78 | 1 | -3 | -135 | 1 | 3.27543 |
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g | -6241 | 79 | 1 | 172508271000000 | 239420967877000 | 2157189905961 | 19.2887 |
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| -6400 | 80 | 1 | -4 | -6 | 1 | 1.89948 | 0,0,0,-25,0 |
| -6561 | 81 | 0 |
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| 0,0,0,-1,0 |
| -6724 | 82 | 0 |
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| -6889 | 83 | 0 |
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| -7056 | 84 | 1 | -126 | -441 | 8 | 1.66146 | 0,0,0,-441,0 |
g | -7225 | 85 | 1 | -36 | -462 | 1 | 4.61175 |
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g | -7396 | 86 | 1 | -27391 | 660093 | 2197 | 5.88604 |
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g | -7569 | 87 | 1 | -1970202 | 189414225 | 2406104 | 9.79997 |
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| -7744 | 88 | 1 | -2695 | 2541 | 125 | 4.25314 | 0,0,0,-484,0 |
| -7921 | 89 | 0 |
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| -8100 | 90 | 0 |
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| 0,0,0,-100,0 |
| -8281 | 91 | 0 |
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| -8464 | 92 | 1 | 74443824 | 287596140 | 2352637 | 10.3679 | 0,0,0,-529,0 |
g | -8649 | 93 | 1 | -265050 | 11200455 | 54872 | 7.29847 |
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g | -8836 | 94 | 1 | 497794 | 1870176 | 4913 | 9.57168 |
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g | -9025 | 95 | 1 | 14450 | -613275 | 8 | 7.29945 |
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| -9216 | 96 | 1 | -3 | -9 | 1 | 0.888626 | 0,0,0,-36,0 |
| -9409 | 97 | 0 |
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| -9604 | 98 | 0 |
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| 0,0,0,-4,0 |
| -9801 | 99 | 0 |
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| 0,0,0,-121,0 |
| -10000 | 100 | 0 |
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| 0,0,0,-1,0 |
E-mail : kc2h-msm@asahi-net.or.jpHisanori Mishima