Cremona's table of elliptic curves

9792 = 2⁶ · 3² · 17

Class	r	Atkin-Lehner	Eigenvalues
9792a (1 curve)	1	2+ 3+ 17+	2+ 3+  1 -2  3  5 17+  1
Curve Equation t Generators 9792a1 [0,0,0,-12,18] 1 [3:3:1]
9792b (1 curve)	1	2+ 3+ 17+	2+ 3+  1 -2 -3  1 17+  3
Curve Equation t Generators 9792b1 [0,0,0,48,32] 1 [1:9:1]
9792c (2 curves)	1	2+ 3+ 17+	2+ 3+ -3  2 -3  1 17+  7
Curve Equation t Generators 9792c1 [0,0,0,-1824,29984] 1 [25:3:1] 9792c2 [0,0,0,-864,61344] 1 [-39:189:1]
9792d (1 curve)	0	2+ 3+ 17-	2+ 3+ -1 -2  3  1 17-  3
Curve Equation t 9792d1 [0,0,0,432,-864] 1
9792e (1 curve)	0	2+ 3+ 17-	2+ 3+ -1 -2 -3  5 17-  1
Curve Equation t 9792e1 [0,0,0,-108,-486] 1
9792f (2 curves)	0	2+ 3+ 17-	2+ 3+  3  2  3  1 17-  7
Curve Equation t 9792f1 [0,0,0,-96,-2272] 1 9792f2 [0,0,0,-16416,-809568] 1
9792g (1 curve)	0	2+ 3- 17+	2+ 3-  1  0  5  5 17+ -1
Curve Equation t 9792g1 [0,0,0,-192,1568] 1
9792h (1 curve)	0	2+ 3- 17+	2+ 3- -1  2 -5  5 17+  7
Curve Equation t 9792h1 [0,0,0,-498,12134] 1
9792i (1 curve)	0	2+ 3- 17+	2+ 3- -1 -2  5  5 17+ -7
Curve Equation t 9792i1 [0,0,0,-498,-12134] 1
9792j (4 curves)	0	2+ 3- 17+	2+ 3-  2 -4  4 -6 17+ -4
Curve Equation t 9792j1 [0,0,0,-1884,-31408] 2 9792j2 [0,0,0,-2604,-5200] 4 9792j3 [0,0,0,-27084,1708400] 2 9792j4 [0,0,0,10356,-41488] 2
9792k (6 curves)	0	2+ 3- 17+	2+ 3- -2  0 -4  2 17+ -4
Curve Equation t 9792k1 [0,0,0,-19596,-979216] 2 9792k2 [0,0,0,-65676,5342960] 4 9792k3 [0,0,0,-998796,384189680] 4 9792k4 [0,0,0,130164,31115504] 2 9792k5 [0,0,0,-15980556,24588721136] 2 9792k6 [0,0,0,-946956,425848304] 2
9792l (2 curves)	2	2+ 3- 17+	2+ 3- -2 -2 -6 -2 17+  0
Curve Equation t Generators 9792l1 [0,0,0,-156,-304] 2 [-11:9:1]&[-10:16:1] 9792l2 [0,0,0,564,-2320] 2 [8:52:1]&[22:144:1]
9792m (4 curves)	0	2+ 3- 17+	2+ 3- -2  4  0  2 17+  4
Curve Equation t 9792m1 [0,0,0,-396,-1296] 2 9792m2 [0,0,0,-3276,71280] 4 9792m3 [0,0,0,-52236,4595184] 2 9792m4 [0,0,0,-396,192240] 2
9792n (1 curve)	0	2+ 3- 17+	2+ 3- -3 -4  1  5 17+  7
Curve Equation t 9792n1 [0,0,0,-624,-12256] 1
9792o (2 curves)	1	2+ 3- 17-	2+ 3-  0  0  2  6 17- -4
Curve Equation t Generators 9792o1 [0,0,0,-300,1456] 2 [-18:32:1] 9792o2 [0,0,0,-1740,-26768] 2 [-27:23:1]
9792p (4 curves)	1	2+ 3- 17-	2+ 3-  0  2  0 -2 17-  4
Curve Equation t Generators 9792p1 [0,0,0,-147180,-21725008] 2 [7018158:160924672:9261] 9792p2 [0,0,0,-124140,-28756816] 2 [16770:312256:27] 9792p3 [0,0,0,-432300,82711856] 2 [-668:8568:1] 9792p4 [0,0,0,1042260,524490032] 2 [1238:60928:1]
9792q (2 curves)	1	2+ 3- 17-	2+ 3-  0  2  0 -2 17- -4
Curve Equation t Generators 9792q1 [0,0,0,-1740,27632] 2 [4:144:1] 9792q2 [0,0,0,-300,71984] 2 [-10:272:1]
9792r (2 curves)	1	2+ 3- 17-	2+ 3-  0  2  0  6 17-  4
Curve Equation t Generators 9792r1 [0,0,0,-16500,815776] 2 [72:32:1] 9792r2 [0,0,0,-16140,853072] 2 [-46:1224:1]
9792s (2 curves)	1	2+ 3- 17-	2+ 3-  0  2  4 -2 17- -4
Curve Equation t Generators 9792s1 [0,0,0,-180,864] 2 [-12:36:1] 9792s2 [0,0,0,180,3888] 2 [6:72:1]
9792t (2 curves)	1	2+ 3- 17-	2+ 3-  0 -2  0  6 17- -4
Curve Equation t Generators 9792t1 [0,0,0,-16500,-815776] 2 [410:7832:1] 9792t2 [0,0,0,-16140,-853072] 2 [182:1496:1]
9792u (2 curves)	1	2+ 3- 17-	2+ 3-  0 -2 -4 -2 17-  4
Curve Equation t Generators 9792u1 [0,0,0,-180,-864] 2 [-8:8:1] 9792u2 [0,0,0,180,-3888] 2 [18:72:1]
9792v (4 curves)	1	2+ 3- 17-	2+ 3-  0 -4  6 -2 17-  4
Curve Equation t Generators 9792v1 [0,0,0,-1740,-17296] 2 [-35:27:1] 9792v2 [0,0,0,-24780,-1501072] 2 [5416:398412:1] 9792v3 [0,0,0,-59340,5562992] 2 [14:2176:1] 9792v4 [0,0,0,-65100,4417904] 2 [5:2023:1]
9792w (1 curve)	1	2+ 3- 17-	2+ 3- -1  4  3 -3 17- -1
Curve Equation t Generators 9792w1 [0,0,0,-58368,5435296] 1 [-247:2187:1]
9792x (1 curve)	1	2+ 3- 17-	2+ 3-  3  0 -1 -3 17- -1
Curve Equation t Generators 9792x1 [0,0,0,18384,373408] 1 [377:7803:1]
9792y (2 curves)	1	2+ 3- 17-	2+ 3-  3 -4 -3  1 17-  1
Curve Equation t Generators 9792y1 [0,0,0,24,218] 1 [7:27:1] 9792y2 [0,0,0,-2136,38018] 1 [7:153:1]
9792z (1 curve)	1	2+ 3- 17-	2+ 3- -3  2 -3 -3 17- -5
Curve Equation t Generators 9792z1 [0,0,0,6,-74] 1 [5:9:1]
9792ba (1 curve)	1	2+ 3- 17-	2+ 3- -3 -2  3 -3 17-  5
Curve Equation t Generators 9792ba1 [0,0,0,6,74] 1 [1:9:1]
9792bb (2 curves)	1	2+ 3- 17-	2+ 3- -4 -2  0  6 17- -4
Curve Equation t Generators 9792bb1 [0,0,0,-1452,-13520] 2 [-28:72:1] 9792bb2 [0,0,0,4308,-94160] 2 [54:544:1]
9792bc (1 curve)	0	2- 3+ 17+	2- 3+  1  2  3  1 17+ -3
Curve Equation t 9792bc1 [0,0,0,48,-32] 1
9792bd (1 curve)	0	2- 3+ 17+	2- 3+  1  2 -3  5 17+ -1
Curve Equation t 9792bd1 [0,0,0,-12,-18] 1
9792be (2 curves)	0	2- 3+ 17+	2- 3+ -3 -2  3  1 17+ -7
Curve Equation t 9792be1 [0,0,0,-1824,-29984] 1 9792be2 [0,0,0,-864,-61344] 1
9792bf (1 curve)	1	2- 3+ 17-	2- 3+ -1  2  3  5 17- -1
Curve Equation t Generators 9792bf1 [0,0,0,-108,486] 1 [-9:27:1]
9792bg (1 curve)	1	2- 3+ 17-	2- 3+ -1  2 -3  1 17- -3
Curve Equation t Generators 9792bg1 [0,0,0,432,864] 1 [57:459:1]
9792bh (2 curves)	1	2- 3+ 17-	2- 3+  3 -2 -3  1 17- -7
Curve Equation t Generators 9792bh1 [0,0,0,-96,2272] 1 [-7:51:1] 9792bh2 [0,0,0,-16416,809568] 1 [57:243:1]
9792bi (1 curve)	1	2- 3- 17+	2- 3-  1  0 -5  5 17+  1
Curve Equation t Generators 9792bi1 [0,0,0,-192,-1568] 1 [17:9:1]
9792bj (1 curve)	1	2- 3- 17+	2- 3- -1  2  1  1 17+  1
Curve Equation t Generators 9792bj1 [0,0,0,-318,2194] 1 [5:27:1]
9792bk (1 curve)	1	2- 3- 17+	2- 3- -1 -2 -1  1 17+ -1
Curve Equation t Generators 9792bk1 [0,0,0,-318,-2194] 1 [73:603:1]
9792bl (4 curves)	1	2- 3- 17+	2- 3-  2  0  4  2 17+  0
Curve Equation t Generators 9792bl1 [0,0,0,-39,-3472] 2 [61260:143198:3375] 9792bl2 [0,0,0,-3684,-85120] 4 [1420:53460:1] 9792bl3 [0,0,0,-58764,-5482960] 2 [178520:6642108:125] 9792bl4 [0,0,0,-6924,87248] 2 [-86:216:1]
9792bm (4 curves)	1	2- 3- 17+	2- 3-  2  0 -4  2 17+  0
Curve Equation t Generators 9792bm1 [0,0,0,-39,3472] 2 [84:770:1] 9792bm2 [0,0,0,-3684,85120] 4 [-43:405:1] 9792bm3 [0,0,0,-6924,-87248] 2 [-51:365:1] 9792bm4 [0,0,0,-58764,5482960] 2 [122:360:1]
9792bn (2 curves)	1	2- 3- 17+	2- 3-  2  2 -2 -2 17+  4
Curve Equation t Generators 9792bn1 [0,0,0,-39,-200] 2 [984:5840:27] 9792bn2 [0,0,0,-804,-8768] 2 [146:1728:1]
9792bo (2 curves)	1	2- 3- 17+	2- 3-  2 -2  2 -2 17+ -4
Curve Equation t Generators 9792bo1 [0,0,0,-39,200] 2 [8:20:1] 9792bo2 [0,0,0,-804,8768] 2 [14:16:1]
9792bp (4 curves)	1	2- 3- 17+	2- 3-  2  4 -4 -6 17+  4
Curve Equation t Generators 9792bp1 [0,0,0,-1884,31408] 2 [-46:144:1] 9792bp2 [0,0,0,-2604,5200] 4 [-48:140:1] 9792bp3 [0,0,0,-27084,-1708400] 2 [166105:6006231:125] 9792bp4 [0,0,0,10356,41488] 2 [146:2160:1]
9792bq (6 curves)	1	2- 3- 17+	2- 3- -2  0  4  2 17+  4
Curve Equation t Generators 9792bq1 [0,0,0,-19596,979216] 2 [-64:1404:1] 9792bq2 [0,0,0,-65676,-5342960] 4 [-3264:24596:27] 9792bq3 [0,0,0,-998796,-384189680] 4 [-31590846604510:-5251002007680:54569318257] 9792bq4 [0,0,0,130164,-31115504] 2 [48003648:1806225148:35937] 9792bq5 [0,0,0,-15980556,-24588721136] 2 [-270366502690060733184:-24897660618725180:117143355239801073] 9792bq6 [0,0,0,-946956,-425848304] 2 [154330:2117664:125]
9792br (2 curves)	1	2- 3- 17+	2- 3- -2  2  6 -2 17+  0
Curve Equation t Generators 9792br1 [0,0,0,-156,304] 2 [-6:32:1] 9792br2 [0,0,0,564,2320] 2 [12:104:1]
9792bs (4 curves)	1	2- 3- 17+	2- 3- -2 -4  0  2 17+ -4
Curve Equation t Generators 9792bs1 [0,0,0,-396,1296] 2 [-14:64:1] 9792bs2 [0,0,0,-3276,-71280] 4 [-32:28:1] 9792bs3 [0,0,0,-52236,-4595184] 2 [309:2961:1] 9792bs4 [0,0,0,-396,-192240] 2 [256:4060:1]
9792bt (1 curve)	1	2- 3- 17+	2- 3- -3  4 -1  5 17+ -7
Curve Equation t Generators 9792bt1 [0,0,0,-624,12256] 1 [17:81:1]
9792bu (2 curves)	0	2- 3- 17-	2- 3-  0  0 -2  6 17-  4
Curve Equation t 9792bu1 [0,0,0,-300,-1456] 2 9792bu2 [0,0,0,-1740,26768] 2
9792bv (2 curves)	0	2- 3- 17-	2- 3-  0 -2  0 -2 17-  4
Curve Equation t 9792bv1 [0,0,0,-1740,-27632] 2 9792bv2 [0,0,0,-300,-71984] 2
9792bw (4 curves)	0	2- 3- 17-	2- 3-  0 -2  0 -2 17- -4
Curve Equation t 9792bw1 [0,0,0,-147180,21725008] 2 9792bw2 [0,0,0,-124140,28756816] 2 9792bw3 [0,0,0,-432300,-82711856] 2 9792bw4 [0,0,0,1042260,-524490032] 2
9792bx (4 curves)	0	2- 3- 17-	2- 3-  0  4 -6 -2 17- -4
Curve Equation t 9792bx1 [0,0,0,-1740,17296] 2 9792bx2 [0,0,0,-24780,1501072] 2 9792bx3 [0,0,0,-59340,-5562992] 2 9792bx4 [0,0,0,-65100,-4417904] 2
9792by (1 curve)	0	2- 3- 17-	2- 3-  1  2  5  1 17- -5
Curve Equation t 9792by1 [0,0,0,618,-1082] 1
9792bz (1 curve)	0	2- 3- 17-	2- 3-  1 -2 -5  1 17-  5
Curve Equation t 9792bz1 [0,0,0,618,1082] 1
9792ca (1 curve)	0	2- 3- 17-	2- 3- -1 -4 -3 -3 17-  1
Curve Equation t 9792ca1 [0,0,0,-58368,-5435296] 1
9792cb (1 curve)	0	2- 3- 17-	2- 3-  3  0  1 -3 17-  1
Curve Equation t 9792cb1 [0,0,0,18384,-373408] 1
9792cc (2 curves)	0	2- 3- 17-	2- 3-  3  4  3  1 17- -1
Curve Equation t 9792cc1 [0,0,0,24,-218] 1 9792cc2 [0,0,0,-2136,-38018] 1
9792cd (2 curves)	0	2- 3- 17-	2- 3-  4  4 -2 -2 17-  8
Curve Equation t 9792cd1 [0,0,0,-228,1280] 2 9792cd2 [0,0,0,-588,-3760] 2
9792ce (2 curves)	0	2- 3- 17-	2- 3-  4 -4  2 -2 17- -8
Curve Equation t 9792ce1 [0,0,0,-228,-1280] 2 9792ce2 [0,0,0,-588,3760] 2
9792cf (2 curves)	0	2- 3- 17-	2- 3- -4  2  0  6 17-  4
Curve Equation t 9792cf1 [0,0,0,-1452,13520] 2 9792cf2 [0,0,0,4308,94160] 2

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