Cremona's table of elliptic curves

36960 = 2⁵ · 3 · 5 · 7 · 11

Class	r	Atkin-Lehner	Eigenvalues
36960a (2 curves)	1	2+ 3+ 5+ 7+ 11+	2+ 3+ 5+ 7+ 11+  0  4 -4
Curve Equation t Generators 36960a1 [0,-1,0,-45910326,119526444576] 2 [29017405040622892071:750551112966714526990:5716999090329129] 36960a2 [0,-1,0,-29967096,203751340020] 2 [2528815260:283319629390:185193]
36960b (4 curves)	1	2+ 3+ 5+ 7+ 11+	2+ 3+ 5+ 7+ 11+  2  2  8
Curve Equation t Generators 36960b1 [0,-1,0,-386,-2760] 4 [44:252:1] 36960b2 [0,-1,0,-56,-7644] 2 [618:5325:8] 36960b3 [0,-1,0,-736,3400] 2 [362:1971:8] 36960b4 [0,-1,0,-6161,-184095] 2 [99:408:1]
36960c (4 curves)	1	2+ 3+ 5+ 7+ 11+	2+ 3+ 5+ 7+ 11+  2  6  8
Curve Equation t Generators 36960c1 [0,-1,0,-19766,1075680] 4 [88:100:1] 36960c2 [0,-1,0,-16136,1479336] 2 [-22:9875:8] 36960c3 [0,-1,0,-23441,651585] 2 [235:2840:1] 36960c4 [0,-1,0,-316216,68547700] 2 [300:770:1]
36960d (4 curves)	1	2+ 3+ 5+ 7+ 11+	2+ 3+ 5+ 7+ 11+  6 -2 -4
Curve Equation t Generators 36960d1 [0,-1,0,-6286,-173264] 4 [94:240:1] 36960d2 [0,-1,0,7464,-838764] 2 [37128:143505:512] 36960d3 [0,-1,0,-22456,1107400] 2 [14445:25688:125] 36960d4 [0,-1,0,-98161,-11804639] 2 [6219:489760:1]
36960e (2 curves)	0	2+ 3+ 5+ 7+ 11-	2+ 3+ 5+ 7+ 11- -2  2  0
Curve Equation t 36960e1 [0,-1,0,-104466,73665036] 2 36960e2 [0,-1,0,-3352161,2354196465] 2
36960f (4 curves)	0	2+ 3+ 5+ 7+ 11-	2+ 3+ 5+ 7+ 11- -2  2  0
Curve Equation t 36960f1 [0,-1,0,-1926,-31824] 4 36960f2 [0,-1,0,-1176,-57624] 2 36960f3 [0,-1,0,-2696,-3180] 2 36960f4 [0,-1,0,-30801,-2070399] 2
36960g (4 curves)	0	2+ 3+ 5+ 7+ 11-	2+ 3+ 5+ 7+ 11-  6 -6  8
Curve Equation t 36960g1 [0,-1,0,-1526,11760] 4 36960g2 [0,-1,0,5224,81960] 2 36960g3 [0,-1,0,-11921,-489279] 2 36960g4 [0,-1,0,-20776,1159060] 2
36960h (2 curves)	2	2+ 3+ 5+ 7- 11+	2+ 3+ 5+ 7- 11+ -2 -6 -8
Curve Equation t Generators 36960h1 [0,-1,0,14,220] 2 [4:18:1]&[20:90:1] 36960h2 [0,-1,0,-481,4081] 2 [25:-84:1]&[-17:84:1]
36960i (2 curves)	0	2+ 3+ 5- 7+ 11+	2+ 3+ 5- 7+ 11+  0  0  0
Curve Equation t 36960i1 [0,-1,0,-3190,-68288] 2 36960i2 [0,-1,0,-2920,-80600] 2
36960j (4 curves)	0	2+ 3+ 5- 7+ 11+	2+ 3+ 5- 7+ 11+ -2 -2  4
Curve Equation t 36960j1 [0,-1,0,-154390,-23277488] 4 36960j2 [0,-1,0,-117265,-34793663] 2 36960j3 [0,-1,0,-192120,-10992600] 2 36960j4 [0,-1,0,-2469640,-1492998188] 2
36960k (4 curves)	0	2+ 3+ 5- 7+ 11+	2+ 3+ 5- 7+ 11+  6  6  0
Curve Equation t 36960k1 [0,-1,0,-5090,140712] 4 36960k2 [0,-1,0,-2065,303457] 2 36960k3 [0,-1,0,-8240,-50808] 2 36960k4 [0,-1,0,-81320,8952900] 4
36960l (2 curves)	2	2+ 3+ 5- 7+ 11+	2+ 3+ 5- 7+ 11+ -6 -2 -4
Curve Equation t Generators 36960l1 [0,-1,0,870,-2628] 2 [4:30:1]&[14:110:1] 36960l2 [0,-1,0,-3585,-17775] 2 [-55:100:1]&[-15:180:1]
36960m (4 curves)	1	2+ 3+ 5- 7+ 11-	2+ 3+ 5- 7+ 11-  2 -6  4
Curve Equation t Generators 36960m1 [0,-1,0,-1930,31000] 4 [6:140:1] 36960m2 [0,-1,0,1920,135720] 2 [61:690:1] 36960m3 [0,-1,0,-6385,-158783] 2 [-41:180:1] 36960m4 [0,-1,0,-30280,2038180] 4 [4072:259578:1]
36960n (4 curves)	1	2+ 3+ 5- 7- 11+	2+ 3+ 5- 7- 11+  2 -2 -4
Curve Equation t Generators 36960n1 [0,-1,0,-110,0] 4 [-5:20:1] 36960n2 [0,-1,0,440,-440] 2 [17:108:1] 36960n3 [0,-1,0,-1160,15540] 2 [37:148:1] 36960n4 [0,-1,0,-1265,-16863] 2 [43:80:1]
36960o (2 curves)	0	2+ 3- 5+ 7+ 11+	2+ 3- 5+ 7+ 11+ -4  6  6
Curve Equation t 36960o1 [0,1,0,-2406,94500] 2 36960o2 [0,1,0,-49281,4191375] 2
36960p (2 curves)	1	2+ 3- 5+ 7+ 11-	2+ 3- 5+ 7+ 11- -2 -6  8
Curve Equation t Generators 36960p1 [0,1,0,14,-220] 2 [14:54:1] 36960p2 [0,1,0,-481,-4081] 2 [-13:12:1]
36960q (2 curves)	1	2+ 3- 5+ 7- 11+	2+ 3- 5+ 7- 11+ -2  2  0
Curve Equation t Generators 36960q1 [0,1,0,-104466,-73665036] 2 [582:7938:1] 36960q2 [0,1,0,-3352161,-2354196465] 2 [-1101:1764:1]
36960r (4 curves)	1	2+ 3- 5+ 7- 11+	2+ 3- 5+ 7- 11+ -2  2  0
Curve Equation t Generators 36960r1 [0,1,0,-1926,31824] 4 [-30:252:1] 36960r2 [0,1,0,-1176,57624] 2 [14:210:1] 36960r3 [0,1,0,-2696,3180] 2 [-262:1917:8] 36960r4 [0,1,0,-30801,2070399] 2 [245:3048:1]
36960s (2 curves)	1	2+ 3- 5+ 7- 11+	2+ 3- 5+ 7- 11+  4  6  6
Curve Equation t Generators 36960s1 [0,1,0,314,-10540] 2 [26:126:1] 36960s2 [0,1,0,-5761,-159985] 2 [-49:84:1]
36960t (4 curves)	1	2+ 3- 5+ 7- 11+	2+ 3- 5+ 7- 11+  6 -6 -8
Curve Equation t Generators 36960t1 [0,1,0,-1526,-11760] 4 [-14:84:1] 36960t2 [0,1,0,5224,-81960] 2 [22:210:1] 36960t3 [0,1,0,-11921,489279] 2 [85:312:1] 36960t4 [0,1,0,-20776,-1159060] 2 [239:2754:1]
36960u (2 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11-  0  4  4
Curve Equation t 36960u1 [0,1,0,-45910326,-119526444576] 2 36960u2 [0,1,0,-29967096,-203751340020] 2
36960v (4 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11-  2  6 -8
Curve Equation t 36960v1 [0,1,0,-19766,-1075680] 4 36960v2 [0,1,0,-16136,-1479336] 2 36960v3 [0,1,0,-23441,-651585] 2 36960v4 [0,1,0,-316216,-68547700] 2
36960w (4 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11-  6 -2  4
Curve Equation t 36960w1 [0,1,0,-6286,173264] 4 36960w2 [0,1,0,7464,838764] 2 36960w3 [0,1,0,-22456,-1107400] 2 36960w4 [0,1,0,-98161,11804639] 2
36960x (4 curves)	0	2+ 3- 5- 7+ 11-	2+ 3- 5- 7+ 11-  2 -2  4
Curve Equation t 36960x1 [0,1,0,-110,0] 4 36960x2 [0,1,0,440,440] 2 36960x3 [0,1,0,-1160,-15540] 2 36960x4 [0,1,0,-1265,16863] 2
36960y (4 curves)	0	2+ 3- 5- 7+ 11-	2+ 3- 5- 7+ 11-  6 -2 -8
Curve Equation t 36960y1 [0,1,0,-140530,-19264000] 4 36960y2 [0,1,0,104495,-79099105] 2 36960y3 [0,1,0,-418360,80088008] 4 36960y4 [0,1,0,-2215680,-1270164420] 2
36960z (2 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11-  0  0  0
Curve Equation t Generators 36960z1 [0,1,0,-3190,68288] 2 [26:60:1] 36960z2 [0,1,0,-2920,80600] 2 [-10:330:1]
36960ba (4 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11-  2 -6  4
Curve Equation t Generators 36960ba1 [0,1,0,-2450,0] 4 [-35:210:1] 36960ba2 [0,1,0,9800,9800] 4 [10:330:1] 36960ba3 [0,1,0,-26705,-1683297] 2 [301:4200:1] 36960ba4 [0,1,0,-27200,1712700] 2 [295:-4410:1]
36960bb (4 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11- -2 -2 -4
Curve Equation t Generators 36960bb1 [0,1,0,-154390,23277488] 4 [281:-1470:1] 36960bb2 [0,1,0,-117265,34793663] 2 [341:5880:1] 36960bb3 [0,1,0,-192120,10992600] 2 [-90:-5250:1] 36960bb4 [0,1,0,-2469640,1492998188] 2 [911:210:1]
36960bc (2 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11- -6 -2  4
Curve Equation t Generators 36960bc1 [0,1,0,870,2628] 2 [6:90:1] 36960bc2 [0,1,0,-3585,17775] 2 [-45:300:1]
36960bd (2 curves)	1	2- 3+ 5+ 7+ 11-	2- 3+ 5+ 7+ 11-  4  0  0
Curve Equation t Generators 36960bd1 [0,-1,0,-126,-504] 2 [19:60:1] 36960bd2 [0,-1,0,-96,-780] 2 [20:70:1]
36960be (2 curves)	1	2- 3+ 5+ 7+ 11-	2- 3+ 5+ 7+ 11-  4  6 -6
Curve Equation t Generators 36960be1 [0,-1,0,314,10540] 2 [-12:70:1] 36960be2 [0,-1,0,-5761,159985] 2 [24:187:1]
36960bf (4 curves)	1	2- 3+ 5+ 7- 11+	2- 3+ 5+ 7- 11+  2  6 -4
Curve Equation t Generators 36960bf1 [0,-1,0,-126,360] 4 [-4:28:1] 36960bf2 [0,-1,0,399,2145] 2 [11:88:1] 36960bf3 [0,-1,0,-896,-9804] 2 [-15:6:1] 36960bf4 [0,-1,0,-1776,29400] 2 [29:38:1]
36960bg (2 curves)	0	2- 3+ 5+ 7- 11-	2- 3+ 5+ 7- 11- -4  6 -6
Curve Equation t 36960bg1 [0,-1,0,-2406,-94500] 2 36960bg2 [0,-1,0,-49281,-4191375] 2
36960bh (4 curves)	1	2- 3+ 5- 7+ 11+	2- 3+ 5- 7+ 11+  2 -6 -4
Curve Equation t Generators 36960bh1 [0,-1,0,-2450,0] 4 [-40:180:1] 36960bh2 [0,-1,0,9800,-9800] 2 [485:10890:1] 36960bh3 [0,-1,0,-26705,1683297] 4 [-151:1500:1] 36960bh4 [0,-1,0,-27200,-1712700] 2 [-95:70:1]
36960bi (2 curves)	0	2- 3+ 5- 7+ 11-	2- 3+ 5- 7+ 11- -4  4  4
Curve Equation t 36960bi1 [0,-1,0,-110,-360] 2 36960bi2 [0,-1,0,160,-2088] 2
36960bj (4 curves)	0	2- 3+ 5- 7+ 11-	2- 3+ 5- 7+ 11-  6 -6 -4
Curve Equation t 36960bj1 [0,-1,0,-910,-9800] 4 36960bj2 [0,-1,0,560,-39788] 4 36960bj3 [0,-1,0,-2560,37720] 2 36960bj4 [0,-1,0,-14385,-659295] 2
36960bk (2 curves)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+  0  0  0
Curve Equation t 36960bk1 [0,-1,0,-4830,-56088] 2 36960bk2 [0,-1,0,17040,-441000] 2
36960bl (4 curves)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+  2 -2  4
Curve Equation t 36960bl1 [0,-1,0,-8030,-165528] 4 36960bl2 [0,-1,0,24640,-1197900] 4 36960bl3 [0,-1,0,-55280,4899672] 2 36960bl4 [0,-1,0,-113905,-14755103] 2
36960bm (4 curves)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+ -2 -6  4
Curve Equation t 36960bm1 [0,-1,0,-5510,153000] 4 36960bm2 [0,-1,0,2960,573112] 2 36960bm3 [0,-1,0,-14960,-500940] 2 36960bm4 [0,-1,0,-87185,9937665] 4
36960bn (4 curves)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+  6 -2  8
Curve Equation t 36960bn1 [0,-1,0,-140530,19264000] 4 36960bn2 [0,-1,0,104495,79099105] 4 36960bn3 [0,-1,0,-418360,-80088008] 2 36960bn4 [0,-1,0,-2215680,1270164420] 2
36960bo (4 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11-  2  6  4
Curve Equation t 36960bo1 [0,1,0,-126,-360] 4 36960bo2 [0,1,0,399,-2145] 2 36960bo3 [0,1,0,-896,9804] 2 36960bo4 [0,1,0,-1776,-29400] 2
36960bp (2 curves)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+  4  0  0
Curve Equation t 36960bp1 [0,1,0,-126,504] 2 36960bp2 [0,1,0,-96,780] 2
36960bq (4 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11-  2  2 -8
Curve Equation t Generators 36960bq1 [0,1,0,-386,2760] 4 [4:36:1] 36960bq2 [0,1,0,-56,7644] 2 [15:102:1] 36960bq3 [0,1,0,-736,-3400] 2 [-14:66:1] 36960bq4 [0,1,0,-6161,184095] 2 [378:213:8]
36960br (2 curves)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11-  0  0  0
Curve Equation t Generators 36960br1 [0,1,0,-4830,56088] 2 [-42:432:1] 36960br2 [0,1,0,17040,441000] 2 [30:990:1]
36960bs (4 curves)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11-  2 -2 -4
Curve Equation t Generators 36960bs1 [0,1,0,-8030,165528] 4 [121:-990:1] 36960bs2 [0,1,0,24640,1197900] 2 [55:1650:1] 36960bs3 [0,1,0,-55280,-4899672] 2 [331:3630:1] 36960bs4 [0,1,0,-113905,14755103] 4 [-289:4860:1]
36960bt (4 curves)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11- -2 -6 -4
Curve Equation t Generators 36960bt1 [0,1,0,-5510,-153000] 4 [-47:66:1] 36960bt2 [0,1,0,2960,-573112] 4 [86:570:1] 36960bt3 [0,1,0,-14960,500940] 2 [583:13794:1] 36960bt4 [0,1,0,-87185,-9937665] 2 [613:12936:1]
36960bu (4 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+  2 -6 -4
Curve Equation t Generators 36960bu1 [0,1,0,-1930,-31000] 4 [-22:36:1] 36960bu2 [0,1,0,1920,-135720] 2 [363:6966:1] 36960bu3 [0,1,0,-6385,158783] 4 [-79:420:1] 36960bu4 [0,1,0,-30280,-2038180] 2 [383:6534:1]
36960bv (2 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+ -4  4 -4
Curve Equation t Generators 36960bv1 [0,1,0,-110,360] 2 [-2:24:1] 36960bv2 [0,1,0,160,2088] 2 [-2:42:1]
36960bw (4 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+  6 -6  4
Curve Equation t Generators 36960bw1 [0,1,0,-910,9800] 4 [-7:126:1] 36960bw2 [0,1,0,560,39788] 2 [7:210:1] 36960bw3 [0,1,0,-2560,-37720] 2 [554:2793:8] 36960bw4 [0,1,0,-14385,659295] 4 [-81:1140:1]
36960bx (4 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  6  6  0
Curve Equation t 36960bx1 [0,1,0,-5090,-140712] 4 36960bx2 [0,1,0,-2065,-303457] 4 36960bx3 [0,1,0,-8240,50808] 2 36960bx4 [0,1,0,-81320,-8952900] 2

Data from Elliptic Curve Data by J. E. Cremona.
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