Cremona's table of elliptic curves

57960 = 2³ · 3² · 5 · 7 · 23

Class	r	Atkin-Lehner	Eigenvalues
57960a (2 curves)	0	2+ 3+ 5+ 7+ 23-	2+ 3+ 5+ 7+  6  2  2 -4
Curve Equation t 57960a1 [0,0,0,-83943,9361018] 2 57960a2 [0,0,0,-82563,9683662] 2
57960b (1 curve)	2	2+ 3+ 5+ 7- 23+	2+ 3+ 5+ 7- -3 -4  0 -5
Curve Equation t Generators 57960b1 [0,0,0,2172,48452] 1 [26:-350:1]&[-2:210:1]
57960c (2 curves)	0	2+ 3+ 5+ 7- 23+	2+ 3+ 5+ 7- -4  2 -4 -2
Curve Equation t 57960c1 [0,0,0,-1067643,-424584442] 2 57960c2 [0,0,0,-1004163,-477285538] 2
57960d (2 curves)	1	2+ 3+ 5- 7+ 23-	2+ 3+ 5- 7+  0 -2  0 -6
Curve Equation t Generators 57960d1 [0,0,0,-347787,75314934] 2 [-342:12420:1] 57960d2 [0,0,0,223533,298472526] 2 [-158:16100:1]
57960e (2 curves)	1	2+ 3+ 5- 7+ 23-	2+ 3+ 5- 7+  4  0  0  0
Curve Equation t Generators 57960e1 [0,0,0,-198747,19742886] 2 [2967:159840:1] 57960e2 [0,0,0,-2791827,1794965454] 2 [-1322:56350:1]
57960f (2 curves)	0	2+ 3+ 5- 7- 23-	2+ 3+ 5- 7- -4  4  2  4
Curve Equation t 57960f1 [0,0,0,-87,-86] 2 57960f2 [0,0,0,333,-674] 2
57960g (2 curves)	0	2+ 3+ 5- 7- 23-	2+ 3+ 5- 7-  6  6  6  0
Curve Equation t 57960g1 [0,0,0,-7047,215514] 2 57960g2 [0,0,0,5373,893646] 2
57960h (1 curve)	0	2+ 3- 5+ 7+ 23+	2+ 3- 5+ 7+ -1  5  7 -4
Curve Equation t 57960h1 [0,0,0,-18643908,30985145732] 1
57960i (2 curves)	0	2+ 3- 5+ 7+ 23+	2+ 3- 5+ 7+  2 -2 -8 -2
Curve Equation t 57960i1 [0,0,0,-18892443,31581682918] 2 57960i2 [0,0,0,-23272563,15840407662] 2
57960j (2 curves)	0	2+ 3- 5+ 7+ 23+	2+ 3- 5+ 7+  2 -4 -2  8
Curve Equation t 57960j1 [0,0,0,-1083,3782] 2 57960j2 [0,0,0,-10083,-386818] 2
57960k (4 curves)	0	2+ 3- 5+ 7+ 23+	2+ 3- 5+ 7+ -4  2  2 -8
Curve Equation t 57960k1 [0,0,0,-1623,-437078] 2 57960k2 [0,0,0,-96843,-11501642] 4 57960k3 [0,0,0,-171363,8633662] 2 57960k4 [0,0,0,-1545843,-739769042] 2
57960l (6 curves)	0	2+ 3- 5+ 7+ 23+	2+ 3- 5+ 7+ -4  6 -2 -4
Curve Equation t 57960l1 [0,0,0,-833178,-292721623] 2 57960l2 [0,0,0,-833223,-292688422] 4 57960l3 [0,0,0,-738723,-361616722] 2 57960l4 [0,0,0,-928443,-221635258] 4 57960l5 [0,0,0,2723037,-1535437762] 2 57960l6 [0,0,0,-6103443,5639569742] 2
57960m (2 curves)	1	2+ 3- 5+ 7+ 23-	2+ 3- 5+ 7+  0  2  2 -4
Curve Equation t Generators 57960m1 [0,0,0,-363,-362] 2 [-6:40:1] 57960m2 [0,0,0,1437,-2882] 2 [66:616:1]
57960n (2 curves)	1	2+ 3- 5+ 7+ 23-	2+ 3- 5+ 7+ -2 -4 -6  0
Curve Equation t Generators 57960n1 [0,0,0,-423,-3078] 2 [-14:10:1] 57960n2 [0,0,0,477,-14418] 2 [39:-252:1]
57960o (4 curves)	1	2+ 3- 5+ 7- 23+	2+ 3- 5+ 7-  0  2  6  4
Curve Equation t Generators 57960o1 [0,0,0,13497,-659878] 2 [3076:20223:64] 57960o2 [0,0,0,-81723,-6392122] 4 [334:1890:1] 57960o3 [0,0,0,-487443,125953742] 2 [12882:38150:27] 57960o4 [0,0,0,-1199523,-505601602] 2 [15238:1876014:1]
57960p (4 curves)	1	2+ 3- 5+ 7- 23+	2+ 3- 5+ 7-  0 -6 -2 -4
Curve Equation t Generators 57960p1 [0,0,0,-60618,-5744167] 2 [-245652:30437:1728] 57960p2 [0,0,0,-64263,-5014438] 4 [2827:149688:1] 57960p3 [0,0,0,138237,-30245938] 2 [199:2268:1] 57960p4 [0,0,0,-325083,66919718] 2 [22754:1190673:8]
57960q (1 curve)	1	2+ 3- 5+ 7- 23+	2+ 3- 5+ 7-  2 -1  2 -2
Curve Equation t Generators 57960q1 [0,0,0,-1623,-49597] 1 [59:245:1]
57960r (6 curves)	0	2+ 3- 5+ 7- 23-	2+ 3- 5+ 7-  4 -2 -2 -4
Curve Equation t 57960r1 [0,0,0,20742,-357527] 2 57960r2 [0,0,0,-87303,-2928998] 4 57960r3 [0,0,0,-801723,274123078] 4 57960r4 [0,0,0,-1101603,-444555218] 2 57960r5 [0,0,0,-234723,654353278] 2 57960r6 [0,0,0,-12799443,17625225742] 2
57960s (4 curves)	1	2+ 3- 5- 7+ 23+	2+ 3- 5- 7+  0  2  2  4
Curve Equation t Generators 57960s1 [0,0,0,198,-2511] 2 [2595:25676:27] 57960s2 [0,0,0,-2007,-30294] 4 [-30:54:1] 57960s3 [0,0,0,-8307,260766] 2 [390:7506:1] 57960s4 [0,0,0,-30987,-2099466] 2 [3234:57375:8]
57960t (2 curves)	1	2+ 3- 5- 7+ 23+	2+ 3- 5- 7+ -2 -4  6  8
Curve Equation t Generators 57960t1 [0,0,0,1653,1654] 2 [95:1008:1] 57960t2 [0,0,0,-6627,13246] 2 [-58:450:1]
57960u (2 curves)	1	2+ 3- 5- 7+ 23+	2+ 3- 5- 7+  6  4 -2 -4
Curve Equation t Generators 57960u1 [0,0,0,-38667,1799926] 2 [-193:1440:1] 57960u2 [0,0,0,-263667,-50805074] 2 [-318:940:1]
57960v (2 curves)	0	2+ 3- 5- 7- 23+	2+ 3- 5- 7-  0  6  4 -4
Curve Equation t 57960v1 [0,0,0,-1692507,-614214106] 2 57960v2 [0,0,0,4358013,-4010976034] 2
57960w (2 curves)	0	2+ 3- 5- 7- 23+	2+ 3- 5- 7- -6 -2  4  2
Curve Equation t 57960w1 [0,0,0,-3387,-69946] 2 57960w2 [0,0,0,-11667,405326] 2
57960x (4 curves)	1	2+ 3- 5- 7- 23-	2+ 3- 5- 7-  0  2 -6  4
Curve Equation t Generators 57960x1 [0,0,0,-11847,42586] 2 [-73:720:1] 57960x2 [0,0,0,-124347,-16809914] 4 [-198:220:1] 57960x3 [0,0,0,-61347,-33832514] 2 [2322:111100:1] 57960x4 [0,0,0,-1987347,-1078347314] 2 [-1083258:5260:1331]
57960y (4 curves)	1	2+ 3- 5- 7- 23-	2+ 3- 5- 7-  0 -6 -6 -4
Curve Equation t Generators 57960y1 [0,0,0,-978087,372318266] 2 [827:11360:1] 57960y2 [0,0,0,-978267,372174374] 4 [-337:25760:1] 57960y3 [0,0,0,-774147,531918686] 2 [262:18630:1] 57960y4 [0,0,0,-1185267,203220974] 2 [-382:24500:1]
57960z (2 curves)	1	2+ 3- 5- 7- 23-	2+ 3- 5- 7-  2 -2 -4 -2
Curve Equation t Generators 57960z1 [0,0,0,-1772427,-908239754] 2 [2175:74336:1] 57960z2 [0,0,0,-1780707,-899325506] 2 [-730:3402:1]
57960ba (1 curve)	1	2+ 3- 5- 7- 23-	2+ 3- 5- 7- -3  0  6 -1
Curve Equation t Generators 57960ba1 [0,0,0,-12,-2284] 1 [22:-90:1]
57960bb (4 curves)	1	2+ 3- 5- 7- 23-	2+ 3- 5- 7-  4 -2  2 -4
Curve Equation t Generators 57960bb1 [0,0,0,-4647,120314] 2 [-2:360:1] 57960bb2 [0,0,0,-9147,-150586] 4 [-22:200:1] 57960bb3 [0,0,0,32253,-1135906] 2 [1634:66440:1] 57960bb4 [0,0,0,-122547,-16502866] 2 [-25430:11288:125]
57960bc (4 curves)	1	2+ 3- 5- 7- 23-	2+ 3- 5- 7- -4 -2  2  4
Curve Equation t Generators 57960bc1 [0,0,0,-845409207,9461251202506] 2 [16607:40320:1] 57960bc2 [0,0,0,-845413707,9461145444406] 4 [-7849:3951360:1] 57960bc3 [0,0,0,-815233107,10167908699086] 2 [-249147872:-130772157705:32768] 57960bc4 [0,0,0,-875666307,8747613671326] 2 [-8094:3912160:1]
57960bd (2 curves)	1	2+ 3- 5- 7- 23-	2+ 3- 5- 7- -6 -4 -2 -8
Curve Equation t Generators 57960bd1 [0,0,0,-20658567,-36140450726] 2 [5483:124200:1] 57960bd2 [0,0,0,-20096067,-38201338226] 2 [10823:1006020:1]
57960be (2 curves)	0	2- 3+ 5+ 7+ 23+	2- 3+ 5+ 7+  0 -2  0 -6
Curve Equation t 57960be1 [0,0,0,-38643,-2789442] 2 57960be2 [0,0,0,24837,-11054538] 2
57960bf (2 curves)	0	2- 3+ 5+ 7+ 23+	2- 3+ 5+ 7+ -4  0  0  0
Curve Equation t 57960bf1 [0,0,0,-22083,-731218] 2 57960bf2 [0,0,0,-310203,-66480202] 2
57960bg (2 curves)	1	2- 3+ 5+ 7- 23+	2- 3+ 5+ 7-  4  4 -2  4
Curve Equation t Generators 57960bg1 [0,0,0,-783,2322] 2 [-11:98:1] 57960bg2 [0,0,0,2997,18198] 2 [43:476:1]
57960bh (2 curves)	1	2- 3+ 5+ 7- 23+	2- 3+ 5+ 7- -6  6 -6  0
Curve Equation t Generators 57960bh1 [0,0,0,-783,-7982] 2 [-19:6:1] 57960bh2 [0,0,0,597,-33098] 2 [27:52:1]
57960bi (2 curves)	1	2- 3+ 5- 7+ 23+	2- 3+ 5- 7+ -6  2 -2 -4
Curve Equation t Generators 57960bi1 [0,0,0,-755487,-252747486] 2 [-12258039:-256230:24389] 57960bi2 [0,0,0,-743067,-261458874] 2 [3185309395:-30907673524:3048625]
57960bj (1 curve)	1	2- 3+ 5- 7- 23-	2- 3+ 5- 7-  3 -4  0 -5
Curve Equation t Generators 57960bj1 [0,0,0,19548,-1308204] 1 [132:-1890:1]
57960bk (2 curves)	1	2- 3+ 5- 7- 23-	2- 3+ 5- 7-  4  2  4 -2
Curve Equation t Generators 57960bk1 [0,0,0,-9608787,11463779934] 2 [1963:-12880:1] 57960bk2 [0,0,0,-9037467,12886709526] 2 [1342:56350:1]
57960bl (4 curves)	1	2- 3- 5+ 7+ 23+	2- 3- 5+ 7+  0  2 -2  0
Curve Equation t Generators 57960bl1 [0,0,0,-1679898,-835911403] 2 [-3594514:-6064929:4913] 57960bl2 [0,0,0,-2383023,-69083278] 4 [-1043:35802:1] 57960bl3 [0,0,0,9519477,-552324778] 2 [1021710489:-96544181188:132651] 57960bl4 [0,0,0,-25535523,49491158222] 2 [229089:-17984096:27]
57960bm (1 curve)	1	2- 3- 5+ 7+ 23+	2- 3- 5+ 7+  2  3  6  6
Curve Equation t Generators 57960bm1 [0,0,0,1437,5987] 1 [86:875:1]
57960bn (4 curves)	1	2- 3- 5+ 7+ 23+	2- 3- 5+ 7+ -4  6 -6 -8
Curve Equation t Generators 57960bn1 [0,0,0,-26463,-1654238] 2 [-91:18:1] 57960bn2 [0,0,0,-35283,-456482] 4 [-174:644:1] 57960bn3 [0,0,0,138597,-3621098] 2 [42:1508:1] 57960bn4 [0,0,0,-350283,79364518] 2 [8826:827356:1]
57960bo (2 curves)	0	2- 3- 5+ 7+ 23-	2- 3- 5+ 7+  0 -4 -8  6
Curve Equation t 57960bo1 [0,0,0,771117,-150738082] 2 57960bo2 [0,0,0,-3609003,-1297453498] 2
57960bp (4 curves)	1	2- 3- 5+ 7- 23-	2- 3- 5+ 7-  4  2  2 -4
Curve Equation t Generators 57960bp1 [0,0,0,-9183,21922] 2 [-51:598:1] 57960bp2 [0,0,0,-104403,12952798] 4 [134:1170:1] 57960bp3 [0,0,0,-63003,23327638] 2 [318:5954:1] 57960bp4 [0,0,0,-1669323,830154022] 2 [6306:16159:8]
57960bq (4 curves)	1	2- 3- 5+ 7- 23-	2- 3- 5+ 7- -4 -2  6 -8
Curve Equation t Generators 57960bq1 [0,0,0,-10218,-397483] 2 [-58:7:1] 57960bq2 [0,0,0,-11343,-304558] 4 [181:-1890:1] 57960bq3 [0,0,0,32757,-2095018] 2 [139:-2268:1] 57960bq4 [0,0,0,-73443,7433102] 2 [227:1568:1]
57960br (2 curves)	0	2- 3- 5- 7+ 23+	2- 3- 5- 7+  2  0  6  4
Curve Equation t 57960br1 [0,0,0,-28519167,58621019074] 2 57960br2 [0,0,0,-28496667,58718133574] 2
57960bs (2 curves)	0	2- 3- 5- 7+ 23+	2- 3- 5- 7+  2  0  6 -4
Curve Equation t 57960bs1 [0,0,0,-9499647,-10855002814] 2 57960bs2 [0,0,0,4562853,-40248440314] 2
57960bt (1 curve)	0	2- 3- 5- 7+ 23+	2- 3- 5- 7+  2 -5  6 -6
Curve Equation t 57960bt1 [0,0,0,-8427,-298429] 1
57960bu (2 curves)	0	2- 3- 5- 7+ 23+	2- 3- 5- 7+  2  6  0  2
Curve Equation t 57960bu1 [0,0,0,-867,-754] 2 57960bu2 [0,0,0,-9147,335414] 2
57960bv (2 curves)	0	2- 3- 5- 7+ 23+	2- 3- 5- 7+  6 -4 -2  4
Curve Equation t 57960bv1 [0,0,0,-4287,-107966] 2 57960bv2 [0,0,0,-3387,-154586] 2
57960bw (2 curves)	1	2- 3- 5- 7+ 23-	2- 3- 5- 7+  0 -2  0 -8
Curve Equation t Generators 57960bw1 [0,0,0,-867,8206] 2 [-10:126:1] 57960bw2 [0,0,0,1653,47014] 2 [14:270:1]
57960bx (1 curve)	1	2- 3- 5- 7+ 23-	2- 3- 5- 7+ -2 -1 -4  2
Curve Equation t Generators 57960bx1 [0,0,0,-29487,1949159] 1 [113:245:1]
57960by (4 curves)	1	2- 3- 5- 7+ 23-	2- 3- 5- 7+  4  2  2 -4
Curve Equation t Generators 57960by1 [0,0,0,-4602,53741] 2 [230:3341:1] 57960by2 [0,0,0,-37407,-2747806] 4 [-115:182:1] 57960by3 [0,0,0,-3387,-7558234] 4 [371:6500:1] 57960by4 [0,0,0,-596307,-177236386] 2 [1075:20592:1]
57960bz (4 curves)	1	2- 3- 5- 7- 23+	2- 3- 5- 7-  0 -2 -6 -4
Curve Equation t Generators 57960bz1 [0,0,0,-2442,46429] 2 [30:13:1] 57960bz2 [0,0,0,-2847,29986] 4 [-43:270:1] 57960bz3 [0,0,0,9573,221254] 4 [3:500:1] 57960bz4 [0,0,0,-21747,-1213634] 2 [-85:144:1]
57960ca (1 curve)	1	2- 3- 5- 7- 23+	2- 3- 5- 7-  3  3 -3  0
Curve Equation t Generators 57960ca1 [0,0,0,-1812,32884] 1 [-12:230:1]

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

Part of Computational Number Theory
Back to Tables and computations