Cremona's table of elliptic curves

90480 = 2⁴ · 3 · 5 · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
90480a (1 curve)	0	2+ 3+ 5+ 13+ 29-	2+ 3+ 5+  2 -3 13+ -4 -6
Curve Equation t 90480a1 [0,-1,0,-733281,-241453875] 1
90480b (2 curves)	2	2+ 3+ 5+ 13- 29+	2+ 3+ 5+  0  0 13- -8 -4
Curve Equation t Generators 90480b1 [0,-1,0,-4836,131040] 2 [-76:232:1]&[24:168:1] 90480b2 [0,-1,0,-4256,163056] 2 [38:-234:1]&[-66:390:1]
90480c (1 curve)	0	2+ 3+ 5+ 13- 29+	2+ 3+ 5+  1 -3 13-  3  2
Curve Equation t 90480c1 [0,-1,0,-90201,10479285] 1
90480d (2 curves)	2	2+ 3+ 5+ 13- 29+	2+ 3+ 5+ -4  0 13- -4  4
Curve Equation t Generators 90480d1 [0,-1,0,-156,576] 2 [-12:24:1]&[0:24:1] 90480d2 [0,-1,0,424,3360] 2 [-2:50:1]&[6:78:1]
90480e (2 curves)	0	2+ 3+ 5+ 13- 29+	2+ 3+ 5+ -4 -2 13-  6 -6
Curve Equation t 90480e1 [0,-1,0,-68491,6919066] 2 90480e2 [0,-1,0,-80236,4396240] 2
90480f (1 curve)	1	2+ 3+ 5- 13+ 29-	2+ 3+ 5-  3  3 13+ -5  0
Curve Equation t Generators 90480f1 [0,-1,0,-12913265,17865158637] 1 [56028:145:27]
90480g (4 curves)	1	2+ 3+ 5- 13+ 29-	2+ 3+ 5-  4  0 13+ -6  4
Curve Equation t Generators 90480g1 [0,-1,0,-8180,-282048] 2 [13345:27972:125] 90480g2 [0,-1,0,-8360,-268800] 4 [230:3150:1] 90480g3 [0,-1,0,9040,-1257120] 2 [5862:89110:27] 90480g4 [0,-1,0,-28640,1564512] 4 [-132:1740:1]
90480h (4 curves)	1	2+ 3+ 5- 13- 29+	2+ 3+ 5-  0  4 13-  6  0
Curve Equation t Generators 90480h1 [0,-1,0,500,-4448] 2 [12:56:1] 90480h2 [0,-1,0,-2880,-39600] 4 [-40:100:1] 90480h3 [0,-1,0,-17960,901392] 2 [-136:900:1] 90480h4 [0,-1,0,-41880,-3284400] 2 [-118:22:1]
90480i (2 curves)	1	2+ 3+ 5- 13- 29+	2+ 3+ 5-  0 -6 13- -2  2
Curve Equation t Generators 90480i1 [0,-1,0,-638515,189816850] 2 [2530:-121500:1] 90480i2 [0,-1,0,-1654140,-562964400] 2 [-595:14500:1]
90480j (1 curve)	1	2+ 3+ 5- 13- 29+	2+ 3+ 5- -4 -5 13- -6  2
Curve Equation t Generators 90480j1 [0,-1,0,-265,1765] 1 [12:13:1]
90480k (4 curves)	0	2+ 3+ 5- 13- 29-	2+ 3+ 5-  4  4 13- -2 -4
Curve Equation t 90480k1 [0,-1,0,-205615,-35817758] 2 90480k2 [0,-1,0,-209820,-34272000] 4 90480k3 [0,-1,0,213000,-155367648] 4 90480k4 [0,-1,0,-699920,185684880] 2
90480l (1 curve)	0	2+ 3- 5+ 13+ 29+	2+ 3- 5+ -1  1 13+ -3  0
Curve Equation t 90480l1 [0,1,0,239,-565] 1
90480m (4 curves)	0	2+ 3- 5+ 13- 29-	2+ 3- 5+  4  0 13-  2  4
Curve Equation t 90480m1 [0,1,0,169,-3900] 2 90480m2 [0,1,0,-2956,-58900] 4 90480m3 [0,1,0,-9456,281700] 4 90480m4 [0,1,0,-46456,-3869500] 2
90480n (1 curve)	0	2+ 3- 5- 13+ 29-	2+ 3- 5-  2  5 13+  0  6
Curve Equation t 90480n1 [0,1,0,1375,-14085] 1
90480o (2 curves)	0	2+ 3- 5- 13- 29+	2+ 3- 5-  0  6 13- -2  6
Curve Equation t 90480o1 [0,1,0,-18395,-951132] 2 90480o2 [0,1,0,-293020,-61148932] 2
90480p (2 curves)	0	2+ 3- 5- 13- 29+	2+ 3- 5-  4  2 13- -2  2
Curve Equation t 90480p1 [0,1,0,-195,468] 2 90480p2 [0,1,0,-1500,-22500] 2
90480q (2 curves)	0	2+ 3- 5- 13- 29+	2+ 3- 5-  4  2 13- -6  2
Curve Equation t 90480q1 [0,1,0,-2795,-51900] 2 90480q2 [0,1,0,-43420,-3496900] 2
90480r (4 curves)	1	2+ 3- 5- 13- 29-	2+ 3- 5-  0 -4 13- -2 -4
Curve Equation t Generators 90480r1 [0,1,0,-655,-6640] 2 [-384:28:27] 90480r2 [0,1,0,-1060,2108] 4 [-14:120:1] 90480r3 [0,1,0,4160,20900] 2 [8:234:1] 90480r4 [0,1,0,-12760,549668] 4 [103:582:1]
90480s (4 curves)	1	2+ 3- 5- 13- 29-	2+ 3- 5-  0 -4 13-  6 -4
Curve Equation t Generators 90480s1 [0,1,0,-1495,17468] 2 [8:78:1] 90480s2 [0,1,0,-22620,1301868] 4 [6:1080:1] 90480s3 [0,1,0,-21320,1459428] 4 [74:8991:8] 90480s4 [0,1,0,-361920,83683908] 2 [383:1182:1]
90480t (1 curve)	1	2+ 3- 5- 13- 29-	2+ 3- 5- -2 -1 13- -5 -6
Curve Equation t Generators 90480t1 [0,1,0,47560,-16867212] 1 [226:-2340:1]
90480u (4 curves)	2	2- 3+ 5+ 13+ 29+	2- 3+ 5+  0  0 13+ -6 -4
Curve Equation t Generators 90480u1 [0,-1,0,11504,525760] 2 [-31:372:1]&[81:1408:1] 90480u2 [0,-1,0,-70416,5178816] 4 [-270:2106:1]&[-54:2970:1] 90480u3 [0,-1,0,-416016,-99054144] 2 [-310:154:1]&[7138:600474:1] 90480u4 [0,-1,0,-1035536,405896640] 2 [-776:27232:1]&[-136:23328:1]
90480v (4 curves)	1	2- 3+ 5+ 13+ 29-	2- 3+ 5+  0  0 13+ -2  0
Curve Equation t Generators 90480v1 [0,-1,0,-61816,-4547984] 2 [-167:1044:1] 90480v2 [0,-1,0,-330936,69513840] 4 [-244:11648:1] 90480v3 [0,-1,0,249064,286665840] 2 [-1116:1075347:64] 90480v4 [0,-1,0,-5216856,4588012656] 2 [2105:54124:1]
90480w (1 curve)	1	2- 3+ 5+ 13+ 29-	2- 3+ 5+ -3 -5 13+ -7  0
Curve Equation t Generators 90480w1 [0,-1,0,-21141,-1279395] 1 [5412:42659:27]
90480x (4 curves)	1	2- 3+ 5+ 13- 29+	2- 3+ 5+  4  0 13-  0  4
Curve Equation t Generators 90480x1 [0,-1,0,-66733256,-209804860944] 2 [-362032018700:-597856896:76765625] 90480x2 [0,-1,0,-66723976,-209866138640] 2 [4636095293030950:-631312051597056999:210644875000] 90480x3 [0,-1,0,-67847096,-202437582480] 2 [-1272455875789999098100:-30131463411473330178048:267993050688578125] 90480x4 [0,-1,0,57024584,-863358410384] 2 [1389669978442146520915359152333819757550:-205224187970764153727124926336188949034171:66019558960155508558068082351375000]
90480y (2 curves)	0	2- 3+ 5+ 13- 29-	2- 3+ 5+  4 -3 13-  6 -2
Curve Equation t 90480y1 [0,-1,0,6259,-2446095] 1 90480y2 [0,-1,0,-56381,66357681] 1
90480z (2 curves)	1	2- 3+ 5- 13+ 29+	2- 3+ 5-  0  4 13+ -4  0
Curve Equation t Generators 90480z1 [0,-1,0,-13320,-498960] 2 [1098:3915:8] 90480z2 [0,-1,0,23800,-2815248] 2 [6589:534950:1]
90480ba (1 curve)	1	2- 3+ 5- 13+ 29+	2- 3+ 5- -1 -5 13+  7  0
Curve Equation t Generators 90480ba1 [0,-1,0,395,36217] 1 [33:290:1]
90480bb (1 curve)	1	2- 3+ 5- 13+ 29+	2- 3+ 5-  2  1 13+ -5 -6
Curve Equation t Generators 90480bb1 [0,-1,0,14000,1000000] 1 [0:1000:1]
90480bc (2 curves)	1	2- 3+ 5- 13+ 29+	2- 3+ 5-  2 -2 13+ -2  6
Curve Equation t Generators 90480bc1 [0,-1,0,-15785,-677508] 2 [45956:1210455:64] 90480bc2 [0,-1,0,22060,-3462900] 2 [125:1110:1]
90480bd (2 curves)	1	2- 3+ 5- 13+ 29+	2- 3+ 5- -4  4 13+  4  0
Curve Equation t Generators 90480bd1 [0,-1,0,-30480,2008512] 2 [-168:1536:1] 90480bd2 [0,-1,0,6640,6552000] 2 [-139:1710:1]
90480be (2 curves)	0	2- 3+ 5- 13+ 29-	2- 3+ 5-  0  0 13+ -2  0
Curve Equation t 90480be1 [0,-1,0,-15705,-752328] 2 90480be2 [0,-1,0,-15660,-756900] 2
90480bf (2 curves)	0	2- 3+ 5- 13+ 29-	2- 3+ 5-  0  0 13+ -6  0
Curve Equation t 90480bf1 [0,-1,0,-86505,7428960] 2 90480bf2 [0,-1,0,208740,46873692] 2
90480bg (4 curves)	0	2- 3+ 5- 13+ 29-	2- 3+ 5-  0  4 13+  2  0
Curve Equation t 90480bg1 [0,-1,0,-453040,-33485888] 2 90480bg2 [0,-1,0,-4185520,3271998400] 4 90480bg3 [0,-1,0,-1265200,7750601152] 4 90480bg4 [0,-1,0,-66825520,210284670400] 2
90480bh (1 curve)	0	2- 3+ 5- 13+ 29-	2- 3+ 5-  3  3 13+  7  6
Curve Equation t 90480bh1 [0,-1,0,-111429165,456451966737] 1
90480bi (1 curve)	0	2- 3+ 5- 13- 29+	2- 3+ 5- -2 -5 13- -5 -2
Curve Equation t 90480bi1 [0,-1,0,-795880,-273299600] 1
90480bj (4 curves)	0	2- 3+ 5- 13- 29+	2- 3+ 5-  4  0 13-  0  4
Curve Equation t 90480bj1 [0,-1,0,-6505,-194600] 2 90480bj2 [0,-1,0,1620,-656100] 2 90480bj3 [0,-1,0,-69505,7006300] 2 90480bj4 [0,-1,0,-14580,17727660] 2
90480bk (2 curves)	0	2- 3+ 5- 13- 29+	2- 3+ 5-  4  4 13-  4 -8
Curve Equation t 90480bk1 [0,-1,0,-65,0] 2 90480bk2 [0,-1,0,260,-260] 2
90480bl (4 curves)	1	2- 3+ 5- 13- 29-	2- 3+ 5-  0  0 13- -2  0
Curve Equation t Generators 90480bl1 [0,-1,0,-148867880,-699066987600] 2 [-39126861291980:302773120:5554637011] 90480bl2 [0,-1,0,-148867960,-699066198608] 4 [-85630932:-9289280:12167] 90480bl3 [0,-1,0,-147177960,-715714726608] 2 [2006180543:812359728180:12167] 90480bl4 [0,-1,0,-150559240,-682367176400] 4 [58045:13643370:1]
90480bm (1 curve)	1	2- 3+ 5- 13- 29-	2- 3+ 5-  0  3 13- -2  6
Curve Equation t Generators 90480bm1 [0,-1,0,-5,12525] 1 [-20:65:1]
90480bn (1 curve)	1	2- 3+ 5- 13- 29-	2- 3+ 5- -1  5 13- -3  0
Curve Equation t Generators 90480bn1 [0,-1,0,-323445,70913277] 1 [292:1131:1]
90480bo (1 curve)	1	2- 3+ 5- 13- 29-	2- 3+ 5-  2 -1 13-  0  6
Curve Equation t Generators 90480bo1 [0,-1,0,-917365,-338598275] 1 [3180:169975:1]
90480bp (1 curve)	1	2- 3- 5+ 13+ 29+	2- 3- 5+  2  3 13+ -7  2
Curve Equation t Generators 90480bp1 [0,1,0,-1256,27444] 1 [4:150:1]
90480bq (2 curves)	1	2- 3- 5+ 13+ 29+	2- 3- 5+ -2 -2 13+  6  2
Curve Equation t Generators 90480bq1 [0,1,0,-169216,21572084] 2 [-340:6318:1] 90480bq2 [0,1,0,355664,129277460] 2 [-124:9126:1]
90480br (2 curves)	1	2- 3- 5+ 13+ 29+	2- 3- 5+ -2  6 13+  2 -6
Curve Equation t Generators 90480br1 [0,1,0,-7736,256404] 2 [22:312:1] 90480br2 [0,1,0,-1256,678900] 2 [52:-870:1]
90480bs (2 curves)	1	2- 3- 5+ 13+ 29+	2- 3- 5+ -2 -6 13+ -2  6
Curve Equation t Generators 90480bs1 [0,1,0,-2275521,-1321957170] 2 [4422:274050:1] 90480bs2 [0,1,0,-2242716,-1361887416] 2 [4287:260442:1]
90480bt (2 curves)	0	2- 3- 5+ 13- 29+	2- 3- 5+  2  2 13- -6  2
Curve Equation t 90480bt1 [0,1,0,-7976,-276300] 2 90480bt2 [0,1,0,-5096,-475596] 2
90480bu (2 curves)	0	2- 3- 5+ 13- 29+	2- 3- 5+ -2 -2 13- -2  6
Curve Equation t 90480bu1 [0,1,0,-155056,7625300] 2 90480bu2 [0,1,0,582224,59824724] 2
90480bv (1 curve)	0	2- 3- 5- 13+ 29+	2- 3- 5-  4  1 13+  6  2
Curve Equation t 90480bv1 [0,1,0,-88332325,319524128723] 1
90480bw (2 curves)	0	2- 3- 5- 13+ 29+	2- 3- 5-  4  4 13+  0  8
Curve Equation t 90480bw1 [0,1,0,-4720,-125932] 2 90480bw2 [0,1,0,-2400,-247500] 2
90480bx (2 curves)	1	2- 3- 5- 13+ 29-	2- 3- 5-  2  0 13+  2  0
Curve Equation t Generators 90480bx1 [0,1,0,-164765,25687350] 2 [750:124120:27] 90480bx2 [0,1,0,-164620,25734968] 2 [251:540:1]
90480by (2 curves)	1	2- 3- 5- 13+ 29-	2- 3- 5-  2  4 13+ -6  4
Curve Equation t Generators 90480by1 [0,1,0,-965,-11862] 2 [3204:16665:64] 90480by2 [0,1,0,-820,-15400] 2 [55:330:1]
90480bz (2 curves)	1	2- 3- 5- 13+ 29-	2- 3- 5- -4  4 13+ -6  4
Curve Equation t Generators 90480bz1 [0,1,0,-625,5810] 2 [-2:84:1] 90480bz2 [0,1,0,-580,6728] 2 [23:78:1]
90480ca (4 curves)	1	2- 3- 5- 13- 29+	2- 3- 5-  4  4 13- -2  0
Curve Equation t Generators 90480ca1 [0,1,0,552240,-270826092] 2 [546:13920:1] 90480ca2 [0,1,0,-4447760,-2976826092] 4 [-1214:25200:1] 90480ca3 [0,1,0,-21267760,35016189908] 4 [-3334:262440:1] 90480ca4 [0,1,0,-67627760,-214073842092] 2 [-4724:630:1]
90480cb (6 curves)	0	2- 3- 5- 13- 29-	2- 3- 5-  0  4 13- -6 -4
Curve Equation t 90480cb1 [0,1,0,-165360,-25931052] 2 90480cb2 [0,1,0,-185840,-19123500] 4 90480cb3 [0,1,0,562960,-133839660] 2 90480cb4 [0,1,0,-1262320,531603668] 8 90480cb5 [0,1,0,306000,1766812500] 4 90480cb6 [0,1,0,-20054320,34560157268] 4
90480cc (4 curves)	0	2- 3- 5- 13- 29-	2- 3- 5-  4  4 13- -6  4
Curve Equation t 90480cc1 [0,1,0,-28360,-1847692] 2 90480cc2 [0,1,0,-29640,-1673100] 4 90480cc3 [0,1,0,53880,-9323532] 2 90480cc4 [0,1,0,-133640,17171700] 4

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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