Cremona's table of elliptic curves

62496 = 2⁵ · 3² · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
62496a (1 curve)	1	2+ 3+ 7+ 31+	2+ 3+ -1 7+  1 -5 -3 -3
Curve Equation t Generators 62496a1 [0,0,0,597,1483106] 1 [-110:294:1]
62496b (1 curve)	1	2+ 3+ 7+ 31+	2+ 3+ -1 7+  4  1 -6  6
Curve Equation t Generators 62496b1 [0,0,0,-6408,-197776] 1 [692:18076:1]
62496c (1 curve)	2	2+ 3+ 7+ 31-	2+ 3+ -3 7+ -4 -1 -2 -6
Curve Equation t Generators 62496c1 [0,0,0,-1944,-200016] 1 [228:3348:1]&[196:2636:1]
62496d (1 curve)	0	2+ 3+ 7- 31+	2+ 3+ -3 7-  4 -1 -2  6
Curve Equation t 62496d1 [0,0,0,-1944,200016] 1
62496e (1 curve)	1	2+ 3+ 7- 31-	2+ 3+  1 7-  1 -5  3  3
Curve Equation t Generators 62496e1 [0,0,0,5373,40043862] 1 [517:13454:1]
62496f (1 curve)	1	2+ 3+ 7- 31-	2+ 3+  1 7-  4  1  6 -6
Curve Equation t Generators 62496f1 [0,0,0,-57672,-5339952] 1 [633:14553:1]
62496g (1 curve)	0	2+ 3- 7+ 31+	2+ 3-  1 7+ -4  1  0  0
Curve Equation t 62496g1 [0,0,0,-436152,110964688] 1
62496h (1 curve)	0	2+ 3- 7+ 31+	2+ 3- -1 7+  0  0  2 -6
Curve Equation t 62496h1 [0,0,0,-363,4034] 1
62496i (2 curves)	0	2+ 3- 7+ 31+	2+ 3-  2 7+  4 -2  0  0
Curve Equation t 62496i1 [0,0,0,51,380] 2 62496i2 [0,0,0,-579,4790] 2
62496j (2 curves)	0	2+ 3- 7+ 31+	2+ 3- -2 7+  2  4  6  0
Curve Equation t 62496j1 [0,0,0,-201,3040] 2 62496j2 [0,0,0,-4611,120346] 2
62496k (2 curves)	2	2+ 3- 7+ 31+	2+ 3- -4 7+  0  4 -6 -4
Curve Equation t Generators 62496k1 [0,0,0,-1137,-14740] 2 [-19:2:1]&[61:378:1] 62496k2 [0,0,0,-1452,-5920] 2 [-35:45:1]&[-22:124:1]
62496l (2 curves)	1	2+ 3- 7+ 31-	2+ 3-  0 7+  2 -2  0  4
Curve Equation t Generators 62496l1 [0,0,0,-20145,1107164] 2 [53:434:1] 62496l2 [0,0,0,-322860,70610528] 2 [332:-124:1]
62496m (4 curves)	1	2+ 3- 7+ 31-	2+ 3-  2 7+ -4 -6  6  8
Curve Equation t Generators 62496m1 [0,0,0,-5529,69680] 4 [-190:3465:8] 62496m2 [0,0,0,19581,526682] 2 [21557030:-380813006:166375] 62496m3 [0,0,0,-45219,-3653242] 2 [641:15190:1] 62496m4 [0,0,0,-73884,7725440] 2 [-83:3645:1]
62496n (4 curves)	1	2+ 3- 7+ 31-	2+ 3- -2 7+ -4 -2 -6 -4
Curve Equation t Generators 62496n1 [0,0,0,-11721,488000] 4 [37:324:1] 62496n2 [0,0,0,-8931,726266] 2 [74:686:1] 62496n3 [0,0,0,-14556,233984] 2 [-35:837:1] 62496n4 [0,0,0,-187491,31247750] 2 [254:110:1]
62496o (1 curve)	1	2+ 3- 7+ 31-	2+ 3-  3 7+ -4 -5  0  4
Curve Equation t Generators 62496o1 [0,0,0,-1537896,1210562768] 1 [5257:372033:1]
62496p (4 curves)	1	2+ 3- 7- 31+	2+ 3-  2 7-  4 -6  6 -8
Curve Equation t Generators 62496p1 [0,0,0,-5529,-69680] 4 [108:770:1] 62496p2 [0,0,0,19581,-526682] 2 [89:1386:1] 62496p3 [0,0,0,-45219,3653242] 2 [19170:71302:125] 62496p4 [0,0,0,-73884,-7725440] 2 [4770:101255:8]
62496q (4 curves)	1	2+ 3- 7- 31+	2+ 3- -2 7-  4 -2 -6  4
Curve Equation t Generators 62496q1 [0,0,0,-11721,-488000] 4 [1308:47138:1] 62496q2 [0,0,0,-8931,-726266] 2 [129:518:1] 62496q3 [0,0,0,-14556,-233984] 2 [-19:189:1] 62496q4 [0,0,0,-187491,-31247750] 2 [-34747170122:-22803885:138991832]
62496r (2 curves)	2	2+ 3- 7- 31-	2+ 3-  0 7- -6 -6  0 -4
Curve Equation t Generators 62496r1 [0,0,0,-15825,-9409556] 2 [285:3038:1]&[936:28210:1] 62496r2 [0,0,0,-772140,-259296032] 2 [-534:868:1]&[-478:756:1]
62496s (1 curve)	0	2+ 3- 7- 31-	2+ 3-  1 7-  4  1  0  0
Curve Equation t 62496s1 [0,0,0,-436152,-110964688] 1
62496t (1 curve)	2	2+ 3- 7- 31-	2+ 3- -1 7- -4  5 -4 -4
Curve Equation t Generators 62496t1 [0,0,0,312,-16] 1 [4:36:1]&[25:153:1]
62496u (2 curves)	0	2+ 3- 7- 31-	2+ 3- -2 7- -2  4  6  0
Curve Equation t 62496u1 [0,0,0,-201,-3040] 2 62496u2 [0,0,0,-4611,-120346] 2
62496v (1 curve)	2	2+ 3- 7- 31-	2+ 3- -3 7-  3 -3  3 -7
Curve Equation t Generators 62496v1 [0,0,0,-579,18646] 1 [29:162:1]&[5:-126:1]
62496w (2 curves)	2	2+ 3- 7- 31-	2+ 3- -4 7- -4 -4  2 -4
Curve Equation t Generators 62496w1 [0,0,0,-51537,4176380] 2 [181:882:1]&[101:38:1] 62496w2 [0,0,0,-807852,279475040] 2 [706:7812:1]&[-680:22680:1]
62496x (1 curve)	0	2- 3+ 7+ 31+	2- 3+  1 7+ -1 -5  3 -3
Curve Equation t 62496x1 [0,0,0,5373,-40043862] 1
62496y (1 curve)	0	2- 3+ 7+ 31+	2- 3+  1 7+ -4  1  6  6
Curve Equation t 62496y1 [0,0,0,-57672,5339952] 1
62496z (1 curve)	1	2- 3+ 7+ 31-	2- 3+  3 7+  4 -1  2 -6
Curve Equation t Generators 62496z1 [0,0,0,-216,7408] 1 [17:93:1]
62496ba (1 curve)	1	2- 3+ 7- 31+	2- 3+  3 7- -4 -1  2  6
Curve Equation t Generators 62496ba1 [0,0,0,-216,-7408] 1 [128:1436:1]
62496bb (1 curve)	2	2- 3+ 7- 31-	2- 3+ -1 7- -1 -5 -3  3
Curve Equation t Generators 62496bb1 [0,0,0,597,-1483106] 1 [117:434:1]&[125:738:1]
62496bc (1 curve)	2	2- 3+ 7- 31-	2- 3+ -1 7- -4  1 -6 -6
Curve Equation t Generators 62496bc1 [0,0,0,-6408,197776] 1 [-64:588:1]&[48:28:1]
62496bd (2 curves)	1	2- 3- 7+ 31+	2- 3-  0 7+ -2  6 -2  2
Curve Equation t Generators 62496bd1 [0,0,0,-705,7072] 2 [-7:108:1] 62496bd2 [0,0,0,-1515,-12206] 2 [-110:621:8]
62496be (2 curves)	1	2- 3- 7+ 31+	2- 3-  0 7+  6 -6  0  4
Curve Equation t Generators 62496be1 [0,0,0,-15825,9409556] 2 [-161:2790:1] 62496be2 [0,0,0,-772140,259296032] 2 [397:3915:1]
62496bf (1 curve)	1	2- 3- 7+ 31+	2- 3- -1 7+  4  5 -4  4
Curve Equation t Generators 62496bf1 [0,0,0,312,16] 1 [0:4:1]
62496bg (2 curves)	1	2- 3- 7+ 31+	2- 3-  2 7+  4 -2  6 -6
Curve Equation t Generators 62496bg1 [0,0,0,-489,-488] 2 [24:40:1] 62496bg2 [0,0,0,1941,-3890] 2 [33:310:1]
62496bh (1 curve)	1	2- 3- 7+ 31+	2- 3- -3 7+ -3 -3  3  7
Curve Equation t Generators 62496bh1 [0,0,0,-579,-18646] 1 [58:378:1]
62496bi (2 curves)	1	2- 3- 7+ 31+	2- 3- -4 7+  4 -4  2  4
Curve Equation t Generators 62496bi1 [0,0,0,-51537,-4176380] 2 [-103:198:1] 62496bi2 [0,0,0,-807852,-279475040] 2 [10733:1107909:1]
62496bj (2 curves)	0	2- 3- 7+ 31-	2- 3-  0 7+ -2  2  2 -6
Curve Equation t 62496bj1 [0,0,0,-629985,-192430208] 2 62496bj2 [0,0,0,-695595,-149901806] 2
62496bk (1 curve)	2	2- 3- 7+ 31-	2- 3-  1 7+ -4 -1 -4 -8
Curve Equation t Generators 62496bk1 [0,0,0,-2712,144272] 1 [-64:236:1]&[16:-324:1]
62496bl (2 curves)	2	2- 3- 7+ 31-	2- 3- -2 7+  2 -4 -4  4
Curve Equation t Generators 62496bl1 [0,0,0,2319,-41200] 2 [17:56:1]&[25:180:1] 62496bl2 [0,0,0,-13116,-386944] 2 [-94:124:1]&[-86:324:1]
62496bm (2 curves)	2	2- 3- 7+ 31-	2- 3- -2 7+ -4  2  2 -2
Curve Equation t Generators 62496bm1 [0,0,0,-31881,2191016] 2 [49:864:1]&[100:54:1] 62496bm2 [0,0,0,-31611,2229950] 2 [-175:1550:1]&[73:-558:1]
62496bn (2 curves)	0	2- 3- 7+ 31-	2- 3-  4 7+  2  2  2 -2
Curve Equation t 62496bn1 [0,0,0,-386193,67298240] 2 62496bn2 [0,0,0,-5700603,5238219170] 2
62496bo (2 curves)	0	2- 3- 7+ 31-	2- 3- -4 7+  6 -2  2  2
Curve Equation t 62496bo1 [0,0,0,-657,-6480] 2 62496bo2 [0,0,0,-747,-4590] 2
62496bp (2 curves)	0	2- 3- 7- 31+	2- 3-  0 7-  2  2  2  6
Curve Equation t 62496bp1 [0,0,0,-629985,192430208] 2 62496bp2 [0,0,0,-695595,149901806] 2
62496bq (2 curves)	0	2- 3- 7- 31+	2- 3-  0 7- -2 -2  0 -4
Curve Equation t 62496bq1 [0,0,0,-20145,-1107164] 2 62496bq2 [0,0,0,-322860,-70610528] 2
62496br (1 curve)	0	2- 3- 7- 31+	2- 3-  1 7-  4 -1 -4  8
Curve Equation t 62496br1 [0,0,0,-2712,-144272] 1
62496bs (2 curves)	2	2- 3- 7- 31+	2- 3- -2 7- -2 -4 -4 -4
Curve Equation t Generators 62496bs1 [0,0,0,2319,41200] 2 [-9:140:1]&[12:266:1] 62496bs2 [0,0,0,-13116,386944] 2 [194:2268:1]&[-76:972:1]
62496bt (2 curves)	0	2- 3- 7- 31+	2- 3- -2 7-  4  2  2  2
Curve Equation t 62496bt1 [0,0,0,-31881,-2191016] 2 62496bt2 [0,0,0,-31611,-2229950] 2
62496bu (1 curve)	0	2- 3- 7- 31+	2- 3-  3 7-  4 -5  0 -4
Curve Equation t 62496bu1 [0,0,0,-1537896,-1210562768] 1
62496bv (2 curves)	0	2- 3- 7- 31+	2- 3-  4 7- -2  2  2  2
Curve Equation t 62496bv1 [0,0,0,-386193,-67298240] 2 62496bv2 [0,0,0,-5700603,-5238219170] 2
62496bw (2 curves)	2	2- 3- 7- 31+	2- 3- -4 7- -6 -2  2 -2
Curve Equation t Generators 62496bw1 [0,0,0,-657,6480] 2 [-9:108:1]&[9:36:1] 62496bw2 [0,0,0,-747,4590] 2 [-23:98:1]&[1:62:1]
62496bx (2 curves)	1	2- 3- 7- 31-	2- 3-  0 7-  2  6 -2 -2
Curve Equation t Generators 62496bx1 [0,0,0,-705,-7072] 2 [32:56:1] 62496bx2 [0,0,0,-1515,12206] 2 [65:434:1]
62496by (1 curve)	1	2- 3- 7- 31-	2- 3- -1 7-  0  0  2  6
Curve Equation t Generators 62496by1 [0,0,0,-363,-4034] 1 [45:266:1]
62496bz (2 curves)	1	2- 3- 7- 31-	2- 3-  2 7- -4 -2  0  0
Curve Equation t Generators 62496bz1 [0,0,0,51,-380] 2 [167:2160:1] 62496bz2 [0,0,0,-579,-4790] 2 [4530:58040:27]
62496ca (2 curves)	1	2- 3- 7- 31-	2- 3-  2 7- -4 -2  6  6
Curve Equation t Generators 62496ca1 [0,0,0,-489,488] 2 [649:16524:1] 62496ca2 [0,0,0,1941,3890] 2 [5186:132345:8]
62496cb (2 curves)	1	2- 3- 7- 31-	2- 3- -4 7-  0  4 -6  4
Curve Equation t Generators 62496cb1 [0,0,0,-1137,14740] 2 [-1:126:1] 62496cb2 [0,0,0,-1452,5920] 2 [-4:108:1]

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