Cremona's table of elliptic curves

126480 = 2⁴ · 3 · 5 · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
126480a (1 curve)	1	2+ 3+ 5+ 17+ 31+	2+ 3+ 5+ -1  1 -1 17+ -5
Curve Equation t Generators 126480a1 [0,-1,0,-611,-6234] 1 [110:1116:1]
126480b (1 curve)	1	2+ 3+ 5+ 17+ 31+	2+ 3+ 5+ -1  1  2 17+  1
Curve Equation t Generators 126480b1 [0,-1,0,-116,531] 1 [-5:31:1]
126480c (4 curves)	0	2+ 3+ 5- 17+ 31+	2+ 3+ 5- -4  0  2 17+  4
Curve Equation t 126480c1 [0,-1,0,-535,4942] 2 126480c2 [0,-1,0,-660,2592] 4 126480c3 [0,-1,0,2440,17472] 2 126480c4 [0,-1,0,-5760,-164688] 2
126480d (1 curve)	1	2+ 3+ 5- 17+ 31-	2+ 3+ 5-  3  1 -3 17+ -5
Curve Equation t Generators 126480d1 [0,-1,0,1080,123840] 1 [12:-372:1]
126480e (4 curves)	1	2+ 3+ 5- 17+ 31-	2+ 3+ 5- -4 -4  2 17+  4
Curve Equation t Generators 126480e1 [0,-1,0,-16215,3110562] 2 [74:1520:1] 126480e2 [0,-1,0,-433820,109850400] 4 [140:7200:1] 126480e3 [0,-1,0,-613000,10656352] 2 [-386:13770:1] 126480e4 [0,-1,0,-6936320,7033712400] 4 [560:57660:1]
126480f (1 curve)	0	2+ 3+ 5- 17- 31-	2+ 3+ 5-  3  3  1 17- -7
Curve Equation t 126480f1 [0,-1,0,9060,39662640] 1
126480g (4 curves)	0	2+ 3- 5+ 17+ 31+	2+ 3- 5+  0  0 -2 17+ -4
Curve Equation t 126480g1 [0,1,0,-7869231,-8499250620] 2 126480g2 [0,1,0,-7872876,-8490986676] 4 126480g3 [0,1,0,-5278176,-14177531196] 2 126480g4 [0,1,0,-10525896,-2275491420] 2
126480h (4 curves)	1	2+ 3- 5+ 17+ 31-	2+ 3- 5+  4  0 -6 17+  4
Curve Equation t Generators 126480h1 [0,1,0,-9951,128340] 2 [4146660:12122076:42875] 126480h2 [0,1,0,-88076,-9996660] 4 [108986:12718125:8] 126480h3 [0,1,0,-20576,-24873660] 2 [1090:35340:1] 126480h4 [0,1,0,-1405576,-641869660] 2 [-1611436645:13261410:2352637]
126480i (4 curves)	1	2+ 3- 5+ 17- 31+	2+ 3- 5+  0  0  2 17- -4
Curve Equation t Generators 126480i1 [0,1,0,-2636,-52980] 2 [411:8274:1] 126480i2 [0,1,0,-2656,-52156] 4 [64:210:1] 126480i3 [0,1,0,744,-173196] 2 [1524:6146:27] 126480i4 [0,1,0,-6376,121940] 2 [-86:204:1]
126480j (1 curve)	1	2+ 3- 5+ 17- 31+	2+ 3- 5+ -3 -3 -2 17- -7
Curve Equation t Generators 126480j1 [0,1,0,-3610516,-2642891341] 1 [3625:178653:1]
126480k (1 curve)	1	2+ 3- 5+ 17- 31+	2+ 3- 5+ -3 -3 -7 17- -7
Curve Equation t Generators 126480k1 [0,1,0,-30996,2090124] 1 [102:12:1]
126480l (4 curves)	0	2+ 3- 5+ 17- 31-	2+ 3- 5+  0 -4 -2 17-  4
Curve Equation t 126480l1 [0,1,0,-871,-9820] 2 126480l2 [0,1,0,-2316,29484] 4 126480l3 [0,1,0,6184,202884] 4 126480l4 [0,1,0,-33936,2394660] 2
126480m (1 curve)	0	2+ 3- 5+ 17- 31-	2+ 3- 5+ -1 -5  5 17- -1
Curve Equation t 126480m1 [0,1,0,-3371,-196296] 1
126480n (2 curves)	1	2+ 3- 5- 17+ 31+	2+ 3- 5- -2  4 -4 17+  0
Curve Equation t Generators 126480n1 [0,1,0,-11540,530460] 2 [-2:744:1] 126480n2 [0,1,0,-190720,31994468] 2 [248:102:1]
126480o (1 curve)	1	2+ 3- 5- 17+ 31+	2+ 3- 5-  3  1 -5 17+  5
Curve Equation t Generators 126480o1 [0,1,0,2340,-8100] 1 [30:300:1]
126480p (1 curve)	2	2+ 3- 5- 17+ 31-	2+ 3- 5- -3 -5  0 17+ -1
Curve Equation t Generators 126480p1 [0,1,0,-13200,687348] 1 [-129:510:1]&[78:372:1]
126480q (1 curve)	2	2+ 3- 5- 17+ 31-	2+ 3- 5- -5 -3 -3 17+ -5
Curve Equation t Generators 126480q1 [0,1,0,-3040,64388] 1 [26:60:1]&[-34:360:1]
126480r (2 curves)	1	2+ 3- 5- 17- 31-	2+ 3- 5-  0  0 -6 17-  4
Curve Equation t Generators 126480r1 [0,1,0,2240,75140] 2 [8:-306:1] 126480r2 [0,1,0,-18840,825588] 2 [-84:1350:1]
126480s (1 curve)	1	2+ 3- 5- 17- 31-	2+ 3- 5-  3  3 -3 17-  1
Curve Equation t Generators 126480s1 [0,1,0,-2323700,297983322348] 1 [-3314:518940:1]
126480t (4 curves)	0	2- 3+ 5+ 17+ 31+	2- 3+ 5+  0  0  6 17+ -4
Curve Equation t 126480t1 [0,-1,0,15624,-3828624] 2 126480t2 [0,-1,0,-291896,-56968080] 4 126480t3 [0,-1,0,-911896,266423920] 2 126480t4 [0,-1,0,-4592216,-3786205584] 2
126480u (2 curves)	0	2- 3+ 5+ 17+ 31+	2- 3+ 5+  1  3  5 17+  7
Curve Equation t 126480u1 [0,-1,0,-1235576,-528235920] 1 126480u2 [0,-1,0,-275816,-1321827984] 1
126480v (1 curve)	0	2- 3+ 5+ 17+ 31+	2- 3+ 5+  2  5 -7 17+ -2
Curve Equation t 126480v1 [0,-1,0,2024,-264464] 1
126480w (1 curve)	1	2- 3+ 5+ 17+ 31-	2- 3+ 5+  1 -1  1 17+  1
Curve Equation t Generators 126480w1 [0,-1,0,-101,-360] 1 [56:408:1]
126480x (1 curve)	1	2- 3+ 5+ 17+ 31-	2- 3+ 5+  1 -1  4 17+  7
Curve Equation t Generators 126480x1 [0,-1,0,-57466,5369851] 1 [233:2139:1]
126480y (2 curves)	1	2- 3+ 5+ 17+ 31-	2- 3+ 5+  4 -4 -2 17+  4
Curve Equation t Generators 126480y1 [0,-1,0,-2496,318720] 2 [-46:578:1] 126480y2 [0,-1,0,-86816,9830016] 2 [450:7854:1]
126480z (2 curves)	1	2- 3+ 5+ 17- 31+	2- 3+ 5+  1 -3 -1 17-  1
Curve Equation t Generators 126480z1 [0,-1,0,1139,-17564] 1 [148:1836:1] 126480z2 [0,-1,0,-11101,733360] 1 [160:1740:1]
126480ba (4 curves)	2	2- 3+ 5+ 17- 31-	2- 3+ 5+  0 -4  2 17- -4
Curve Equation t Generators 126480ba1 [0,-1,0,82144,1318656] 2 [146:-4050:1]&[72946:19701650:1] 126480ba2 [0,-1,0,-332576,10940160] 4 [-494:7378:1]&[866:19278:1] 126480ba3 [0,-1,0,-3368096,-2366479104] 2 [-1070:3346:1]&[2850:105714:1] 126480ba4 [0,-1,0,-3932576,2997500160] 4 [-192:61200:1]&[224:46128:1]
126480bb (1 curve)	0	2- 3+ 5+ 17- 31-	2- 3+ 5+  1 -3 -5 17- -1
Curve Equation t 126480bb1 [0,-1,0,83024,236886976] 1
126480bc (1 curve)	2	2- 3+ 5+ 17- 31-	2- 3+ 5+ -3  5 -1 17- -1
Curve Equation t Generators 126480bc1 [0,-1,0,-616,-6800] 1 [34:102:1]&[36:128:1]
126480bd (3 curves)	1	2- 3+ 5- 17+ 31+	2- 3+ 5-  1 -3 -4 17+  7
Curve Equation t Generators 126480bd1 [0,-1,0,-565730400,-5179163040000] 1 [14167475:2220785650:343] 126480bd2 [0,-1,0,-135890400,-12796358112000] 1 [16606544334831322589935:2787446682843182694333530:418178412215750627] 126480bd3 [0,-1,0,1222579200,344815816398720] 1 [24760983974207034740375093837438252962320413968665775119332957777215:687333808269427404647659793038770523933246580787414592447625211141361082:36970803742156649554369401274816068496931591332395084777653817875]
126480be (1 curve)	1	2- 3+ 5- 17+ 31+	2- 3+ 5- -1 -3  2 17+  3
Curve Equation t Generators 126480be1 [0,-1,0,-450,13527] 1 [29:155:1]
126480bf (1 curve)	2	2- 3+ 5- 17- 31+	2- 3+ 5- -1 -5 -1 17-  3
Curve Equation t Generators 126480bf1 [0,-1,0,-7480,476272] 1 [-86:690:1]&[-68:816:1]
126480bg (1 curve)	0	2- 3+ 5- 17- 31+	2- 3+ 5-  2  1  5 17-  6
Curve Equation t 126480bg1 [0,-1,0,-1221080,-708859920] 1
126480bh (2 curves)	0	2- 3+ 5- 17- 31+	2- 3+ 5- -2  4  4 17- -4
Curve Equation t 126480bh1 [0,-1,0,1581080,721509232] 2 126480bh2 [0,-1,0,-8874600,6760710000] 2
126480bi (1 curve)	1	2- 3- 5+ 17+ 31+	2- 3- 5+  1 -5 -6 17+  3
Curve Equation t Generators 126480bi1 [0,1,0,-18206,1163475] 1 [1791:75609:1]
126480bj (1 curve)	1	2- 3- 5+ 17+ 31+	2- 3- 5+ -1 -1  0 17+  7
Curve Equation t Generators 126480bj1 [0,1,0,-416,13044] 1 [15:102:1]
126480bk (1 curve)	1	2- 3- 5+ 17+ 31+	2- 3- 5+ -1  5 -3 17+  7
Curve Equation t Generators 126480bk1 [0,1,0,-34101,-2532546] 1 [222:942:1]
126480bl (1 curve)	1	2- 3- 5+ 17+ 31+	2- 3- 5+  4  1 -3 17+  6
Curve Equation t Generators 126480bl1 [0,1,0,-116,744] 1 [7:18:1]
126480bm (1 curve)	0	2- 3- 5+ 17+ 31-	2- 3- 5+  2 -3  1 17+  6
Curve Equation t 126480bm1 [0,1,0,-87056,19425300] 1
126480bn (2 curves)	0	2- 3- 5+ 17+ 31-	2- 3- 5+ -2  0  0 17+ -8
Curve Equation t 126480bn1 [0,1,0,-44656,-4523500] 2 126480bn2 [0,1,0,-761376,-255948876] 2
126480bo (2 curves)	0	2- 3- 5+ 17+ 31-	2- 3- 5+ -2  0 -4 17+ -4
Curve Equation t 126480bo1 [0,1,0,-2085056,-2610097356] 2 126480bo2 [0,1,0,-43907776,-111901229260] 2
126480bp (2 curves)	0	2- 3- 5+ 17+ 31-	2- 3- 5+  4 -6  2 17+  8
Curve Equation t 126480bp1 [0,1,0,-101,1134] 2 126480bp2 [0,1,0,-2396,44280] 2
126480bq (2 curves)	0	2- 3- 5+ 17- 31+	2- 3- 5+  0  0 -2 17- -4
Curve Equation t 126480bq1 [0,1,0,-5496,-170796] 2 126480bq2 [0,1,0,-89816,-10390380] 2
126480br (1 curve)	0	2- 3- 5+ 17- 31+	2- 3- 5+  2 -5 -1 17-  6
Curve Equation t 126480br1 [0,1,0,-5016,-652716] 1
126480bs (4 curves)	1	2- 3- 5+ 17- 31-	2- 3- 5+  0  4  2 17-  4
Curve Equation t Generators 126480bs1 [0,1,0,-8096,-8460] 2 [969997797:93758885088:103823] 126480bs2 [0,1,0,-90016,-10395916] 4 [37372:7224558:1] 126480bs3 [0,1,0,-51616,-19289356] 2 [20190:512864:27] 126480bs4 [0,1,0,-1439136,-664988940] 2 [-185005570969692:299326831650:266965582519]
126480bt (1 curve)	1	2- 3- 5+ 17- 31-	2- 3- 5+  0 -5 -1 17- -2
Curve Equation t Generators 126480bt1 [0,1,0,-1156,17000] 1 [273:2168:27]
126480bu (1 curve)	1	2- 3- 5+ 17- 31-	2- 3- 5+ -3  1 -1 17-  7
Curve Equation t Generators 126480bu1 [0,1,0,3264,-26316] 1 [42:-432:1]
126480bv (2 curves)	0	2- 3- 5- 17+ 31+	2- 3- 5-  0 -2 -2 17+  0
Curve Equation t 126480bv1 [0,1,0,35,-82] 2 126480bv2 [0,1,0,-220,-1000] 2
126480bw (1 curve)	2	2- 3- 5- 17+ 31+	2- 3- 5- -1 -3 -4 17+ -5
Curve Equation t Generators 126480bw1 [0,1,0,11000,2112500] 1 [110:2160:1]&[-82:816:1]
126480bx (1 curve)	0	2- 3- 5- 17+ 31+	2- 3- 5-  2 -1 -5 17+ -2
Curve Equation t 126480bx1 [0,1,0,-76200,8080500] 1
126480by (4 curves)	1	2- 3- 5- 17- 31+	2- 3- 5-  0  0 -2 17- -4
Curve Equation t Generators 126480by1 [0,1,0,-5337240,4744170900] 2 [1335:90:1] 126480by2 [0,1,0,-5357720,4705906068] 4 [-1994:86400:1] 126480by3 [0,1,0,-397720,13084338068] 4 [-1684:94770:1] 126480by4 [0,1,0,-10645400,-6121147500] 2 [-2300:78750:1]
126480bz (1 curve)	1	2- 3- 5- 17- 31+	2- 3- 5- -3 -3 -5 17- -1
Curve Equation t Generators 126480bz1 [0,1,0,-5,-150] 1 [10:30:1]
126480ca (1 curve)	0	2- 3- 5- 17- 31-	2- 3- 5-  2 -3 -3 17- -2
Curve Equation t 126480ca1 [0,1,0,80,20] 1
126480cb (1 curve)	0	2- 3- 5- 17- 31-	2- 3- 5- -3  3  4 17-  3
Curve Equation t 126480cb1 [0,1,0,-24960,-1526220] 1
126480cc (4 curves)	0	2- 3- 5- 17- 31-	2- 3- 5-  4  4  2 17- -4
Curve Equation t 126480cc1 [0,1,0,290560,-12279372] 2 126480cc2 [0,1,0,-1189120,-100468300] 4 126480cc3 [0,1,0,-11644800,15202464948] 4 126480cc4 [0,1,0,-14408320,-21023818060] 2

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