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")

   n |rank| (xp, yp, zp), height
-----+---+----------------------------------------------------------------------
  -1 | 0 |
  -2 | 0 |
  -3 | 0 |
  -4 | 1 | (2, 1, 8), 1.0592
  -5 | 0 |
  -6 | 0 |
  -7 | 0 |
  -8 | 0 |
  -9 | 1 | (3, 1, 27), 1.3030
 -10 | 1 | (28, 343, 1), 3.4669
 -11 | 1 | (684, 6859, 729), 5.3784
 -12 | 1 | (798, 6859, 2744), 5.6235
 -13 | 0 |
 -14 | 0 |
 -15 | 0 |
 -16 | 2 | (4, 1, 64), 2.0797
     |   | (130, 8, 2197), 4.5027
 -17 | 1 | (63, 343, 729), 3.8197
 -18 | 0 |
 -19 | 0 |
x -20 | 0-2 |
 -21 | 1 | (20202, -50653, 474552), 8.1500
 -22 | 1 | (-36, -64, 1), 2.9922
 -23 | 0 |
 -24 | 1 | (14, 343, 1), 2.0337
 -25 | 2 | (5, 1, 125), 2.0677
     |   | (14, 8, 343), 3.1273
x -26 | 0-2 |
 -27 | 1 | (851508, -21952, 1295029), 10.5910
 -28 | 1 | (213299450, 47437928, 5959274797), 14.1736
 -29 | 1 | (84582, 2048383, 405224), 9.2351
 -30 | 0 |
x -31 | 0-2 |
 -32 | 1 | (26912188727100612, -377180836867008, 796703685141929921), 26.8454
 -33 | 1 | (1365, 2197, 42875), 6.0545
 -34 | 1 | (868, 64, 29791), 6.0075
 -35 | 1 | (440387555580, -2368593037, 2875403448000), 19.6836
 -36 | 1 | (6, 1, 216), 2.6877
 -37 | 1 | (190684, 6859, 7189057), 9.6900
 -38 | 1 | (86431147338267900, 22547659897251, 7239729936865829824), 28.7604
 -39 | 0 |
 -40 | 1 | (2538192580, -10218313, 19508557888), 16.3370
x -41 | 0-2 |
 -42 | 0 |
 -43 | 0 |
 -44 | 1 | (297882, 300763, 12812904), 10.0735
 -45 | 1 | (243516, -140608, 9261), 9.9151
 -46 | 1 | (1720, 79507, 125), 6.5792
 -47 | 1 | (389844, 10793861, 7529536), 9.8753
 -48 | 1 | (1815821336478945537420, -3949894085231993625, 23996197625842226199232), 34.7043
 -49 | 2 | (7, 1, 343), 2.5723
     |   | (126, -1, 5832), 5.0656
 -50 | 1 | (-285953292775824948288, -7770945532246500583, 207548714799289073664), 33.1154
 -51 | 0 |
x -52 | 0-2 |
x -53 | 0-1 |
 -54 | 0 |
 -55 | 1 | (-86716, -4330747, 343), 9.5698
x -56 | 0-1 |
 -57 | 1 | (39, 27, 2197), 2.5517
 -58 | 0 |
 -59 | 1 | (90492812172, -243438174784, 5581968754419), 18.7902
 -60 | 2 | (92430, -125, 3944312), 9.8468
     |   | (99023988, 9393931, 5949419328), 13.9832
 -61 | 0 |
 -62 | 0 |
x -63 | 0-1 |
 -64 | 1 | (8, 1, 512), 3.1192
 -65 | 1 | (13537677333479235885, -44544448703034125, 811344685505949252477), 31.0894
 -66 | 1 | (-1926683472, -87056109568, 2048383), 16.5508
 -67 | 1 | (40477269167901592, -29384629062920704, 823526448463837), 27.3348
x -68 | 1-3 | (40019490, 763551944, 1957816251), 13.9729
 -69 | 0 |
 -70 | 0 |
 -71 | 0 |
 -72 | 2 | (10374, 216, 753571), 7.2242
  |  | (2153112, 1092727, 153990656), 11.5551
 -73 | 1 | (236930759065, -365525875, 14845218988033), 19.3562
 -74 | 0 |
 -75 | 0 |
x -76 | 1-3 | (5110, 389017, 343), 7.5054
 -77 | 1 | (25691433642, 620650477, 1991340318941), 17.8544
 -78 | 0 |
 -79 | 1 | (62426196, -557441767, 5489031744), 14.3213
x -80 | 0-1 |
 -81 | 1 | (9, 1, 729), 2.9493
 -82 | 1 | (8626409844920, -5231776256, 402617556362321), 22.3285
 -83 | 0 |
 -84 | 1-3 | (6194916, 21717639, 498677257), 12.5533
 -85 | 1 | (30353191310, -28934443, 2125293586793), 18.4688
 -86 | 0-1 |
 -87 | 0-1 |
 -88 | 2 | (55300, 64, 5359375), 9.6755
     |   | (1053953820680, -2062933417, 86163474309632), 20.6985
 -89 | 1 | (76167, 29791, 6751269), 9.0573
 -90 | 1 | (252, 729, 21952), 5.8157
 -91 | 0 |
 -92 | 2 | (167197302, 54872, 19704878101), 15.3536
     |   | (7048748063070, -15494117157000, 663944895232919), 21.8472
 -93 | 0 |
 -94 | 1 | (8008, 512, 753571), 7.8914
 -95 | 2 | (647064, 57960603, 3511808), 11.1741
     |   | (43711380, -19683, 1815848000), 13.3259
 -96 | 0-2 |
 -97 | 0 |
 -98 | 0 |
 -99 | 0 |
-100 | 1 | (10, 1, 1000), 3.4539
-----+---+----------------------------------------------------------------------