Generator points of E(Q)/2E(Q) on y^2+nxy=x^3 (1 <= n <= 100)
(using Cremona's mwrank.exe)

y^2+nxy=x^3

(x, y)=(xp/zp, yp/zp)

y^2+nxy=x^3 is birationally equivalent to u/v+v+1/u=n
by the following birational transformation,
     u = -x,
     v = -y/x
and
     x = -u
     y = uv

u/v+v+1/u=n is birationally equivalent to X/Y+Y/Z+Z/X=n

Ranks of some of the curve are not completely determined yet.
("x" in front of "n")
And "s" denotes the curve is singular.

  n |rank| (xp, yp, zp), height
----+---+-----------------------------------------------------------------------
  1 | 0 |
  2 | 0 |
s 3 | - |
  4 | 0 |
  5 | 0 |
  6 | 1 | (-6, 27, 1), 1.8632
  7 | 0 |
  8 | 0 |
  9 | 1 | (-42, 27, 343), 3.3652
 10 | 1 | (-630, 125, 5832), 5.2193
 11 | 0 |
 12 | 0 |
 13 | 1 | (-4446, 2197, 54872), 6.6487
 14 | 1 | (-182, 343, 2197), 4.6541
 15 | 1 | (-21, -27, 343), 2.9640
 16 | 1 | (-19530, -29791, 343000), 7.9226
 17 | 1 | (-3330, 50653, 125), 6.6833
 18 | 1 | (-51870, 74088, 857375), 8.5209
 19 | 1 | (-45, 729, 1), 3.2300
 20 | 1 | (11102, -226981, 2744), 7.4732
 21 | 1 | (-546, 2197, 9261), 5.6845
 22 | 0 |
 23 | 0 |
 24 | 0 |
 25 | 0 |
 26 | 1 | (-31122, 729, 753571), 8.3820
 27 | 0 |
 28 | 0 |
 29 | 1 | (-211302, 79507, 6028568), 9.5829
 30 | 1 | (-1302, 9261, 8), 6.5229
 31 | 1 | (999, 19683, 1), 6.5891
 32 | 0 |
 33 | 0 |
 34 | 0 |
 35 | 1 | (-25802, -2744, 912673), 8.2669
 36 | 1 | (-82446, -343, 3442951), 9.4958
x 37 | 0-2 |
 38 | 1 | (-6648530, 3442951, 248858189), 12.0208
 39 | 0 |
 40 | 1 | (-18, -8, 729), 3.5039
 41 | 2 | (-18, 8, 729), 2.5263
    |   | (-52, -64, 2197), 3.3525
 42 | 0 |
 43 | 0 |
 44 | 1 | (-8620794, -6859, 549353259), 13.0656
 45 | 0 |
 46 | 0 |
 47 | 1 | (11784370, 49430863, 54872), 12.8254
 48 | 0 |
 49 | 0 |
x 50 | 0-2 |
 51 | 1 | (-9009, 2197, 456533), 7.0203
 52 | 0 |
 53 | 1 | (-378, 8, 19683), 4.8959
 54 | 1 | (-4902, 185193, 79507), 6.5269
 55 | 0 |
x 56 | 0-2 |
 57 | 1 | (-535990, 6859, 29791000), 9.5203
 58 | 0 |
 59 | 0 |
 60 | 0 |
 61 | 0 |
 62 | 1 | (40031733828176859700, 7425751661388173177, 3465573357637000000), 31.8172
 63 | 1 | (-841979775, -15069223, 53796109375), 15.1893
 64 | 1 | (37206936835389216, -2395555936653353319, 12606388811104256), 27.2001
 65 | 0 |
 66 | 1 | (-42, 27, 2744), 3.0215
 67 | 1 | (-200501826525, 426107828125, 13006060129413), 18.2605
 68 | 0 |
 69 | 2 | (-2086770, 857375, 143055667), 11.5005
    |   | (-4209120084, -308915776, 291566137591), 16.5468
 70 | 1 | (35916205544027676, -3235087432173707739, 720933179012189632), 27.9723
 71 | 1 | (-4221, -343, 300763), 7.0008
x 72 | 0-1 |
x 73 | 0-1 |
 74 | 1 | (-1533052962, 2352637, 15662530008), 16.3468
 75 | 0 |
 76 | 2 | (-3405649338, -18821096, 266716895453), 16.6837
    |   | (43452025812, 2336752783, 10590025536), 18.1515
 77 | 2 | (-1820, -125, 140608), 6.8230
    |   | (-74416230, 300763, 5479701947), 14.1642
 78 | 0 |
 79 | 0 |
 80 | 0 |
 81 | 0 |
 82 | 0 |
 83 | 1 | (-2745, 729, 226981), 6.4436
 84 | 1 | (-1736, -29791, 175616), 6.1650
 85 | 0 |
 86 | 1 | (-13286, 389017, 753571), 8.8122
 87 | 1 | (-105, -1, 9261), 4.7686
 88 | 0 |
 89 | 0 |
 90 | 0 |
 91 | 0 |
x 92 | 0-1 |
 93 | 0 |
 94 | 2 | (-13394430, 6859, 415160936), 13.4782
    |   | (-1485894740904, -16954786009, 141062761391616), 20.7008
 95 | 0 |
 96 | 1 | (-570, -27, 54872), 6.1483
 97 | 0 |
 98 | 1 | (-2172595783271102109648, -16760883178134623809, 215766814762947883615201), 34.8298
x 99 | 0-1 |
100 | 0 |
----+---+-----------------------------------------------------------------------