Cremona's table of elliptic curves

40560 = 2⁴ · 3 · 5 · 13²

Class	r	Atkin-Lehner	Eigenvalues
40560a (6 curves)	1	2+ 3+ 5+ 13+	2+ 3+ 5+  0 -4 13+ -6 -4
Curve Equation t Generators 40560a1 [0,-1,0,-2591,-49830] 2 [-762:116:27] 40560a2 [0,-1,0,-3436,-13664] 4 [-20:216:1] 40560a3 [0,-1,0,13464,-121824] 2 [1530:24543:8] 40560a4 [0,-1,0,-33856,2395600] 4 [-56:2028:1] 40560a5 [0,-1,0,-13576,5218576] 2 [-30:2366:1] 40560a6 [0,-1,0,-540856,153278800] 2 [426:38:1]
40560b (2 curves)	1	2+ 3+ 5+ 13+	2+ 3+ 5+ -2  0 13+ -4  6
Curve Equation t Generators 40560b1 [0,-1,0,-56,-105600] 2 [61:338:1] 40560b2 [0,-1,0,-33856,-2349920] 2 [581:13182:1]
40560c (1 curve)	1	2+ 3+ 5+ 13+	2+ 3+ 5+ -2 -1 13+  6  6
Curve Equation t Generators 40560c1 [0,-1,0,-27096,2774160] 1 [-56:2028:1]
40560d (1 curve)	1	2+ 3+ 5+ 13+	2+ 3+ 5+ -3 -3 13+ -1 -6
Curve Equation t Generators 40560d1 [0,-1,0,-17801,-1395915] 1 [724:19097:1]
40560e (4 curves)	1	2+ 3+ 5+ 13+	2+ 3+ 5+  4  0 13+  2  0
Curve Equation t Generators 40560e1 [0,-1,0,-387911,78529086] 2 [26022:660790:27] 40560e2 [0,-1,0,-5931956,5562698400] 4 [29174116:-324564408:24389] 40560e3 [0,-1,0,-5658176,6099088176] 2 [4078:225446:1] 40560e4 [0,-1,0,-94910456,355924440000] 4 [4784:106488:1]
40560f (2 curves)	0	2+ 3+ 5+ 13-	2+ 3+ 5+  0  6 13- -2  2
Curve Equation t 40560f1 [0,-1,0,-27096,-1338624] 2 40560f2 [0,-1,0,60784,-8298720] 2
40560g (1 curve)	0	2+ 3+ 5+ 13-	2+ 3+ 5+  3 -3 13-  1  8
Curve Equation t 40560g1 [0,-1,0,-1681,27325] 1
40560h (4 curves)	0	2+ 3+ 5- 13+	2+ 3+ 5-  0  0 13+  2  0
Curve Equation t 40560h1 [0,-1,0,-824100,-287676000] 2 40560h2 [0,-1,0,-827480,-285193728] 4 40560h3 [0,-1,0,-36560,-808466400] 4 40560h4 [0,-1,0,-1672480,396890272] 2
40560i (1 curve)	0	2+ 3+ 5- 13+	2+ 3+ 5- -1 -5 13+  3 -6
Curve Equation t 40560i1 [0,-1,0,1642455,-533705355] 1
40560j (1 curve)	0	2+ 3+ 5- 13+	2+ 3+ 5-  2  1 13+  6 -6
Curve Equation t 40560j1 [0,-1,0,-160,1312] 1
40560k (4 curves)	0	2+ 3+ 5- 13+	2+ 3+ 5-  4  0 13+ -2  4
Curve Equation t 40560k1 [0,-1,0,620,2560] 2 40560k2 [0,-1,0,-2760,24192] 4 40560k3 [0,-1,0,-23040,-1322400] 2 40560k4 [0,-1,0,-36560,2701152] 2
40560l (4 curves)	0	2+ 3+ 5- 13+	2+ 3+ 5- -4  4 13+ -6  0
Curve Equation t 40560l1 [0,-1,0,-18815,-984738] 2 40560l2 [0,-1,0,-26420,-105600] 4 40560l3 [0,-1,0,105400,-949248] 4 40560l4 [0,-1,0,-279920,56881200] 2
40560m (2 curves)	1	2+ 3+ 5- 13-	2+ 3+ 5-  0 -6 13- -2 -2
Curve Equation t Generators 40560m1 [0,-1,0,-160,-560] 2 [-8:12:1] 40560m2 [0,-1,0,360,-3888] 2 [18:90:1]
40560n (1 curve)	1	2+ 3+ 5- 13-	2+ 3+ 5- -3  3 13-  1 -8
Curve Equation t Generators 40560n1 [0,-1,0,-284145,58896525] 1 [620:10985:1]
40560o (6 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  0 -4 13+  2 -4
Curve Equation t 40560o1 [0,1,0,-1570911,-820737540] 2 40560o2 [0,1,0,-25704956,-50170032756] 4 40560o3 [0,1,0,-26276176,-47824146460] 4 40560o4 [0,1,0,-411278456,-3210484668156] 2 40560o5 [0,1,0,28648824,-221409116460] 2 40560o6 [0,1,0,-90340696,275906686004] 2
40560p (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+  1 -1 13+  0  1
Curve Equation t 40560p1 [0,1,0,-27096,6479604] 1
40560q (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+ -1 -2 13+  6  8
Curve Equation t 40560q1 [0,1,0,-4281,106419] 1
40560r (2 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  2  4 13+  0  2
Curve Equation t 40560r1 [0,1,0,121624,17309124] 2 40560r2 [0,1,0,-723376,165691124] 2
40560s (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+ -3  2 13+ -4 -4
Curve Equation t 40560s1 [0,1,0,-38081,37226619] 1
40560t (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  4  4 13+  6  0
Curve Equation t 40560t1 [0,1,0,-3436,-276340] 2 40560t2 [0,1,0,-87936,-10044540] 4 40560t3 [0,1,0,-121736,-1648620] 2 40560t4 [0,1,0,-1406136,-642253260] 2
40560u (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+ -5  1 13+ -3  6
Curve Equation t 40560u1 [0,1,0,-58361,5407299] 1
40560v (2 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  2 -4 13- -2 -6
Curve Equation t Generators 40560v1 [0,1,0,-58231,-4833100] 2 [4112:263250:1] 40560v2 [0,1,0,83924,-24621076] 2 [251:3510:1]
40560w (2 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+ -2  0 13-  6 -2
Curve Equation t Generators 40560w1 [0,1,0,-16111,723464] 2 [-38:7155:8] 40560w2 [0,1,0,16844,3333500] 2 [605034:-14531275:5832]
40560x (2 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  4  4 13- -8  0
Curve Equation t Generators 40560x1 [0,1,0,-554376,347207940] 2 [42:18000:1] 40560x2 [0,1,0,-11539376,15071501940] 2 [2239:21546:1]
40560y (4 curves)	1	2+ 3- 5- 13+	2+ 3- 5-  0  0 13+ -6  4
Curve Equation t Generators 40560y1 [0,1,0,28505,-114100] 2 [68:1464:1] 40560y2 [0,1,0,-114300,-1028052] 4 [-234:3600:1] 40560y3 [0,1,0,-1212800,511751748] 4 [-854:30420:1] 40560y4 [0,1,0,-1300680,-570015900] 2 [-672:1014:1]
40560z (4 curves)	1	2+ 3- 5- 13+	2+ 3- 5-  0  4 13+ -2 -4
Curve Equation t Generators 40560z1 [0,1,0,14140,-452100] 2 [238:4056:1] 40560z2 [0,1,0,-70360,-4068700] 4 [-217:1014:1] 40560z3 [0,1,0,-509760,137066580] 4 [6543:526266:1] 40560z4 [0,1,0,-982960,-375314380] 2 [-577:294:1]
40560ba (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5-  1  2 13+  6 -8
Curve Equation t Generators 40560ba1 [0,1,0,-723545,236696643] 1 [486:285:1]
40560bb (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5- -1  1 13+  0 -1
Curve Equation t Generators 40560bb1 [0,1,0,-160,2900] 1 [-10:60:1]
40560bc (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5-  3 -2 13+ -4  4
Curve Equation t Generators 40560bc1 [0,1,0,-225,16875] 1 [30:-195:1]
40560bd (2 curves)	0	2+ 3- 5- 13-	2+ 3- 5-  2  0 13-  6  2
Curve Equation t 40560bd1 [0,1,0,-95,300] 2 40560bd2 [0,1,0,100,1548] 2
40560be (2 curves)	0	2+ 3- 5- 13-	2+ 3- 5- -2  4 13- -2  6
Curve Equation t 40560be1 [0,1,0,-9841095,-10578956400] 2 40560be2 [0,1,0,14183100,-54149236452] 2
40560bf (2 curves)	2	2+ 3- 5- 13-	2+ 3- 5- -4 -4 13- -8  0
Curve Equation t Generators 40560bf1 [0,1,0,-3280,157028] 2 [-64:330:1]&[26:-300:1] 40560bf2 [0,1,0,-68280,6839028] 2 [-294:1260:1]&[66:1620:1]
40560bg (8 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+  0  4 13+  2 -4
Curve Equation t 40560bg1 [0,-1,0,-297496,-62354384] 2 40560bg2 [0,-1,0,-311016,-56362320] 4 40560bg3 [0,-1,0,567784,-317893200] 2 40560bg4 [0,-1,0,-1406136,588444336] 4 40560bg5 [0,-1,0,1635864,2783551536] 2 40560bg6 [0,-1,0,-21970056,39643441200] 4 40560bg7 [0,-1,0,-21442776,41636137776] 2 40560bg8 [0,-1,0,-351520056,2536841521200] 2
40560bh (2 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+  1 -6 13+  0  4
Curve Equation t 40560bh1 [0,-1,0,796779,-142418979] 1 40560bh2 [0,-1,0,-8694261,12182645565] 1
40560bi (4 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+  2  0 13+  0  2
Curve Equation t 40560bi1 [0,-1,0,10809184,-518949120] 2 40560bi2 [0,-1,0,-43270816,-4109861120] 2 40560bi3 [0,-1,0,-144332816,719989702080] 2 40560bi4 [0,-1,0,-2359449616,44113241767360] 2
40560bj (2 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+ -2  3 13+  6 -2
Curve Equation t 40560bj1 [0,-1,0,-13576,-605840] 1 40560bj2 [0,-1,0,26984,-3136784] 1
40560bk (1 curve)	0	2- 3+ 5+ 13+	2- 3+ 5+ -3 -5 13+  5  2
Curve Equation t 40560bk1 [0,-1,0,-901,95341] 1
40560bl (1 curve)	0	2- 3+ 5+ 13+	2- 3+ 5+  5  3 13+ -8  5
Curve Equation t 40560bl1 [0,-1,0,-13384856,18852612336] 1
40560bm (1 curve)	0	2- 3+ 5+ 13+	2- 3+ 5+ -5 -2 13+  2  0
Curve Equation t 40560bm1 [0,-1,0,-82021,-9298355] 1
40560bn (2 curves)	1	2- 3+ 5+ 13-	2- 3+ 5+  2  0 13- -2  2
Curve Equation t Generators 40560bn1 [0,-1,0,-1616,-30720] 2 [64:352:1] 40560bn2 [0,-1,0,-27616,-1757120] 2 [-96:8:1]
40560bo (2 curves)	1	2- 3+ 5- 13+	2- 3+ 5- -1  3 13+  3  2
Curve Equation t Generators 40560bo1 [0,-1,0,3155,-20255] 1 [477:10478:1] 40560bo2 [0,-1,0,-37405,3192097] 1 [9:1690:1]
40560bp (1 curve)	1	2- 3+ 5- 13+	2- 3+ 5- -1  5 13+ -7 -6
Curve Equation t Generators 40560bp1 [0,-1,0,-179365,45993037] 1 [204:4225:1]
40560bq (2 curves)	1	2- 3+ 5- 13+	2- 3+ 5- -1  6 13+  0 -4
Curve Equation t Generators 40560bq1 [0,-1,0,4715,-66275] 1 [60:655:1] 40560bq2 [0,-1,0,-51445,5560957] 1 [-156:3125:1]
40560br (4 curves)	1	2- 3+ 5- 13+	2- 3+ 5-  2  0 13+  0  2
Curve Equation t Generators 40560br1 [0,-1,0,-16280,-5126928] 2 [2906:48503:8] 40560br2 [0,-1,0,-557080,-159146768] 2 [2860438:-54316431:2744] 40560br3 [0,-1,0,145960,135567600] 2 [7900:703040:1] 40560br4 [0,-1,0,-3234040,2125711600] 2 [685:15210:1]
40560bs (2 curves)	1	2- 3+ 5- 13+	2- 3+ 5-  2 -3 13+  6  2
Curve Equation t Generators 40560bs1 [0,-1,0,-2294400,-1340208000] 1 [42520:8762040:1] 40560bs2 [0,-1,0,4560240,-6873273408] 1 [1864:90000:1]
40560bt (2 curves)	1	2- 3+ 5- 13+	2- 3+ 5- -2 -6 13+ -2 -2
Curve Equation t Generators 40560bt1 [0,-1,0,-13745,-54900] 2 [-20:460:1] 40560bt2 [0,-1,0,54700,-492948] 2 [3389:197730:1]
40560bu (4 curves)	1	2- 3+ 5- 13+	2- 3+ 5-  4  0 13+ -2  4
Curve Equation t Generators 40560bu1 [0,-1,0,-780160,-437915648] 2 [276060040232205586496857536:-327162163148405209600111083520:196554964598707889447] 40560bu2 [0,-1,0,-14624640,-21514752000] 4 [54600521310950:228800842583950:12342406231] 40560bu3 [0,-1,0,-16787840,-14729226240] 2 [-4734496:-234945504:2197] 40560bu4 [0,-1,0,-233973120,-1377439315968] 2 [141029424714261589497480482:-334270546095123141594890627750:25103234387449346653]
40560bv (8 curves)	1	2- 3+ 5- 13+	2- 3+ 5- -4  0 13+  6 -4
Curve Equation t Generators 40560bv1 [0,-1,0,4000,-300288] 2 [47405:932204:125] 40560bv2 [0,-1,0,-50080,-3891200] 4 [-144:560:1] 40560bv3 [0,-1,0,-36560,8817600] 2 [-95:3380:1] 40560bv4 [0,-1,0,-185280,26501760] 2 [-408:5832:1] 40560bv5 [0,-1,0,-780160,-264967808] 2 [-63630:6118:125] 40560bv6 [0,-1,0,-901840,329317312] 4 [-446:25350:1] 40560bv7 [0,-1,0,-14421840,21085221312] 2 [2184:-720:1] 40560bv8 [0,-1,0,-1226320,71550400] 2 [-510:23750:1]
40560bw (1 curve)	1	2- 3+ 5- 13+	2- 3+ 5-  5  2 13+  2  0
Curve Equation t Generators 40560bw1 [0,-1,0,-485,-4083] 1 [8932:5615:343]
40560bx (1 curve)	1	2- 3+ 5- 13+	2- 3+ 5- -5 -3 13+ -8 -5
Curve Equation t Generators 40560bx1 [0,-1,0,-79200,8605440] 1 [162:-18:1]
40560by (2 curves)	0	2- 3+ 5- 13-	2- 3+ 5- -2  0 13- -2 -2
Curve Equation t 40560by1 [0,-1,0,-273160,-68584400] 2 40560by2 [0,-1,0,-4667160,-3879061200] 2
40560bz (6 curves)	1	2- 3- 5+ 13+	2- 3- 5+  0  4 13+ -6  4
Curve Equation t Generators 40560bz1 [0,1,0,40504,-1243020] 2 [849:6760:27] 40560bz2 [0,1,0,-175816,-10501516] 4 [-34040:485199:512] 40560bz3 [0,1,0,-1527816,719037684] 4 [147:22308:1] 40560bz4 [0,1,0,-2284936,-1329123340] 2 [-11108343512:-7172183733:12487168] 40560bz5 [0,1,0,-311016,1834113204] 2 [627:43428:1] 40560bz6 [0,1,0,-24376616,46316102964] 2 [1447:118638:1]
40560ca (8 curves)	1	2- 3- 5+ 13+	2- 3- 5+  0 -4 13+  2  4
Curve Equation t Generators 40560ca1 [0,1,0,-56,-26220] 2 [124872:1951443:512] 40560ca2 [0,1,0,-13576,-604876] 4 [182:1728:1] 40560ca3 [0,1,0,-27096,784980] 4 [-9:1014:1] 40560ca4 [0,1,0,-216376,-38812396] 2 [1027:28692:1] 40560ca5 [0,1,0,94584,5992884] 2 [615:17238:1] 40560ca6 [0,1,0,-365096,84744180] 4 [4:9126:1] 40560ca7 [0,1,0,-297496,117165140] 2 [44:10206:1] 40560ca8 [0,1,0,-5840696,5431120020] 2 [1396:66:1]
40560cb (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  1  2 13+  2  0
Curve Equation t Generators 40560cb1 [0,1,0,-21181,-2741881] 1 [239:2430:1]
40560cc (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+ -2 -1 13+  2 -6
Curve Equation t Generators 40560cc1 [0,1,0,-114976,93656564] 1 [410:10752:1]
40560cd (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -2 -2 13+ -2 -2
Curve Equation t Generators 40560cd1 [0,1,0,-17801,-917526] 2 [1954:86190:1] 40560cd2 [0,1,0,-10196,-1699320] 2 [15626:689775:8]
40560ce (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -2  4 13+  4 -2
Curve Equation t Generators 40560ce1 [0,1,0,-142016,21632820] 2 [1866:79104:1] 40560ce2 [0,1,0,-2305216,1346376500] 2 [874:96:1]
40560cf (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+ -2 -5 13+ -2 -2
Curve Equation t Generators 40560cf1 [0,1,0,639024,-81994860] 1 [546:-20736:1]
40560cg (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  3  1 13+ -3 -2
Curve Equation t Generators 40560cg1 [0,1,0,32899,430425399] 1 [667:27378:1]
40560ch (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  3 -1 13+ -1 -2
Curve Equation t Generators 40560ch1 [0,1,0,-514661,-146100525] 1 [10846:1127061:1]
40560ci (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+ -3  1 13+  0 -5
Curve Equation t Generators 40560ci1 [0,1,0,-2136,-91116] 1 [150:-1728:1]
40560cj (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+ -3  3 13+  0 -3
Curve Equation t Generators 40560cj1 [0,1,0,-43967096,-113364415020] 1 [438029578:494996809728:343]
40560ck (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+ -3 -6 13+  6  0
Curve Equation t Generators 40560ck1 [0,1,0,5859,-78441] 1 [59:690:1]
40560cl (2 curves)	0	2- 3- 5+ 13-	2- 3- 5+  0  2 13-  2  4
Curve Equation t 40560cl1 [0,1,0,-2721,53730] 2 40560cl2 [0,1,0,-2916,45384] 2
40560cm (2 curves)	0	2- 3- 5+ 13-	2- 3- 5+  0 -4 13- -4  4
Curve Equation t 40560cm1 [0,1,0,-114976,-16017676] 2 40560cm2 [0,1,0,-1872576,-986915916] 2
40560cn (2 curves)	0	2- 3- 5+ 13-	2- 3- 5+  0  6 13-  6 -6
Curve Equation t 40560cn1 [0,1,0,-359376,79745940] 2 40560cn2 [0,1,0,173104,296358804] 2
40560co (1 curve)	0	2- 3- 5+ 13-	2- 3- 5+ -3  3 13- -3  0
Curve Equation t 40560co1 [0,1,0,93739,-14710461] 1
40560cp (1 curve)	0	2- 3- 5+ 13-	2- 3- 5+  5 -3 13-  7  4
Curve Equation t 40560cp1 [0,1,0,-82021,-12293761] 1
40560cq (4 curves)	0	2- 3- 5- 13+	2- 3- 5-  0  0 13+ -6  0
Curve Equation t 40560cq1 [0,1,0,-36560,-2622060] 2 40560cq2 [0,1,0,-90640,6874388] 4 40560cq3 [0,1,0,260880,47510100] 4 40560cq4 [0,1,0,-1307440,574876628] 2
40560cr (1 curve)	0	2- 3- 5- 13+	2- 3- 5- -1 -2 13+  2  0
Curve Equation t 40560cr1 [0,1,0,-3579645,-6009594057] 1
40560cs (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  2  1 13+  2  6
Curve Equation t 40560cs1 [0,1,0,-680,42420] 1
40560ct (2 curves)	0	2- 3- 5- 13+	2- 3- 5-  2  4 13+  8 -6
Curve Equation t 40560ct1 [0,1,0,10760,1195988] 2 40560ct2 [0,1,0,-124440,15094548] 2
40560cu (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  2  5 13+ -2  2
Curve Equation t 40560cu1 [0,1,0,107995000,-180574687500] 1
40560cv (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  3 -1 13+  0  5
Curve Equation t 40560cv1 [0,1,0,-361040,-198737772] 1
40560cw (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  3 -3 13+  0  3
Curve Equation t 40560cw1 [0,1,0,-260160,-51679692] 1
40560cx (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  3  6 13+  6  0
Curve Equation t 40560cx1 [0,1,0,35,-25] 1
40560cy (2 curves)	1	2- 3- 5- 13-	2- 3- 5-  0 -2 13-  2 -4
Curve Equation t Generators 40560cy1 [0,1,0,-459905,119884350] 2 [330:2040:1] 40560cy2 [0,1,0,-492860,101680008] 2 [116232:636225:512]
40560cz (2 curves)	1	2- 3- 5- 13-	2- 3- 5-  0  4 13- -4 -4
Curve Equation t Generators 40560cz1 [0,1,0,-680,-7500] 2 [474:3237:8] 40560cz2 [0,1,0,-11080,-452620] 2 [28158:125081:216]
40560da (2 curves)	1	2- 3- 5- 13-	2- 3- 5-  0 -6 13-  6  6
Curve Equation t Generators 40560da1 [0,1,0,-60734600,175444768500] 2 [-620:461370:1] 40560da2 [0,1,0,29254520,650983274228] 2 [-1474:777600:1]
40560db (1 curve)	1	2- 3- 5- 13-	2- 3- 5-  3 -3 13- -3  0
Curve Equation t Generators 40560db1 [0,1,0,555,-6525] 1 [30:195:1]
40560dc (1 curve)	1	2- 3- 5- 13-	2- 3- 5- -5  3 13-  7 -4
Curve Equation t Generators 40560dc1 [0,1,0,-485,-5745] 1 [43:-234:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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