Cremona's table of elliptic curves

3264 = 2⁶ · 3 · 17

Class	r	Atkin-Lehner	Eigenvalues
3264a (4 curves)	1	2+ 3+ 17+	2+ 3+  0  2  0 -2 17+  4
Curve Equation t Generators 3264a1 [0,-1,0,-16353,810081] 2 [72:27:1] 3264a2 [0,-1,0,-13793,1069665] 2 [-77:1292:1] 3264a3 [0,-1,0,-48033,-3047391] 2 [-120:987:1] 3264a4 [0,-1,0,115807,-19464159] 2 [188216:4958829:343]
3264b (2 curves)	1	2+ 3+ 17+	2+ 3+  0  2  0 -2 17+ -4
Curve Equation t Generators 3264b1 [0,-1,0,-193,-959] 2 [-8:3:1] 3264b2 [0,-1,0,-33,-2655] 2 [24:99:1]
3264c (2 curves)	1	2+ 3+ 17+	2+ 3+  0 -2  0  6 17+ -4
Curve Equation t Generators 3264c1 [0,-1,0,-1833,30825] 2 [24:9:1] 3264c2 [0,-1,0,-1793,32193] 2 [19:68:1]
3264d (1 curve)	1	2+ 3+ 17+	2+ 3+  3 -2 -3 -3 17+  5
Curve Equation t Generators 3264d1 [0,-1,0,1,-3] 1 [4:7:1]
3264e (2 curves)	1	2+ 3+ 17+	2+ 3+ -3 -4  3  1 17+  1
Curve Equation t Generators 3264e1 [0,-1,0,3,-9] 1 [2:1:1] 3264e2 [0,-1,0,-237,-1329] 1 [26:97:1]
3264f (1 curve)	0	2+ 3+ 17-	2+ 3+  1  2  5  5 17-  7
Curve Equation t 3264f1 [0,-1,0,-55,-431] 1
3264g (1 curve)	0	2+ 3+ 17-	2+ 3+ -1  0 -5  5 17- -1
Curve Equation t 3264g1 [0,-1,0,-21,-51] 1
3264h (6 curves)	0	2+ 3+ 17-	2+ 3+  2  0  4  2 17- -4
Curve Equation t 3264h1 [0,-1,0,-2177,36993] 2 3264h2 [0,-1,0,-7297,-195455] 4 3264h3 [0,-1,0,-110977,-14192255] 4 3264h4 [0,-1,0,14463,-1157247] 2 3264h5 [0,-1,0,-1775617,-910101503] 2 3264h6 [0,-1,0,-105217,-15737087] 4
3264i (4 curves)	2	2+ 3+ 17-	2+ 3+ -2 -4 -4 -6 17- -4
Curve Equation t Generators 3264i1 [0,-1,0,-209,1233] 2 [-9:48:1]&[-7:48:1] 3264i2 [0,-1,0,-289,289] 4 [-15:32:1]&[-8:45:1] 3264i3 [0,-1,0,-3009,-62271] 2 [-32:15:1]&[-31:16:1] 3264i4 [0,-1,0,1151,1153] 4 [1:48:1]&[3:68:1]
3264j (1 curve)	0	2+ 3+ 17-	2+ 3+  3 -4 -1  5 17-  7
Curve Equation t 3264j1 [0,-1,0,-69,477] 1
3264k (2 curves)	0	2+ 3- 17+	2+ 3-  0  2  0  6 17+  4
Curve Equation t 3264k1 [0,1,0,-1833,-30825] 2 3264k2 [0,1,0,-1793,-32193] 2
3264l (1 curve)	0	2+ 3- 17+	2+ 3-  1  4 -3 -3 17+ -1
Curve Equation t 3264l1 [0,1,0,-6485,-203469] 1
3264m (1 curve)	0	2+ 3- 17+	2+ 3-  3  2  3 -3 17+ -5
Curve Equation t 3264m1 [0,1,0,1,3] 1
3264n (1 curve)	0	2+ 3- 17+	2+ 3- -3  0  1 -3 17+ -1
Curve Equation t 3264n1 [0,1,0,2043,-13149] 1
3264o (2 curves)	0	2+ 3- 17+	2+ 3-  4 -2  0  6 17+ -4
Curve Equation t 3264o1 [0,1,0,-161,447] 2 3264o2 [0,1,0,479,3647] 2
3264p (1 curve)	1	2+ 3- 17-	2+ 3-  1 -2 -5  5 17- -7
Curve Equation t Generators 3264p1 [0,1,0,-55,431] 1 [14:51:1]
3264q (1 curve)	0	2- 3+ 17+	2- 3+  1 -4  3 -3 17+  1
Curve Equation t 3264q1 [0,-1,0,-6485,203469] 1
3264r (1 curve)	0	2- 3+ 17+	2- 3+ -1 -2  5  1 17+  5
Curve Equation t 3264r1 [0,-1,0,69,-63] 1
3264s (1 curve)	0	2- 3+ 17+	2- 3+ -3  0 -1 -3 17+  1
Curve Equation t 3264s1 [0,-1,0,2043,13149] 1
3264t (2 curves)	0	2- 3+ 17+	2- 3+  4  2  0  6 17+  4
Curve Equation t 3264t1 [0,-1,0,-161,-447] 2 3264t2 [0,-1,0,479,-3647] 2
3264u (1 curve)	1	2- 3+ 17-	2- 3+  1 -2  1  1 17- -1
Curve Equation t Generators 3264u1 [0,-1,0,-35,93] 1 [4:1:1]
3264v (4 curves)	1	2- 3+ 17-	2- 3+ -2  0 -4  2 17-  0
Curve Equation t Generators 3264v1 [0,-1,0,-4,130] 2 [11:36:1] 3264v2 [0,-1,0,-409,3289] 4 [-5:72:1] 3264v3 [0,-1,0,-769,-2975] 2 [-8:51:1] 3264v4 [0,-1,0,-6529,205249] 4 [63:200:1]
3264w (2 curves)	1	2- 3- 17+	2- 3-  0 -2  0 -2 17+  4
Curve Equation t Generators 3264w1 [0,1,0,-193,959] 2 [5:12:1] 3264w2 [0,1,0,-33,2655] 2 [-9:48:1]
3264x (4 curves)	1	2- 3- 17+	2- 3-  0 -2  0 -2 17+ -4
Curve Equation t Generators 3264x1 [0,1,0,-16353,-810081] 2 [-75:12:1] 3264x2 [0,1,0,-13793,-1069665] 2 [247:3264:1] 3264x3 [0,1,0,-48033,3047391] 2 [-171:2508:1] 3264x4 [0,1,0,115807,19464159] 2 [583:16896:1]
3264y (1 curve)	1	2- 3- 17+	2- 3- -1  2 -5  1 17+ -5
Curve Equation t Generators 3264y1 [0,1,0,69,63] 1 [6:27:1]
3264z (2 curves)	1	2- 3- 17+	2- 3- -3  4 -3  1 17+ -1
Curve Equation t Generators 3264z1 [0,1,0,3,9] 1 [0:3:1] 3264z2 [0,1,0,-237,1329] 1 [8:3:1]
3264ba (1 curve)	0	2- 3- 17-	2- 3-  1  2 -1  1 17-  1
Curve Equation t 3264ba1 [0,1,0,-35,-93] 1
3264bb (1 curve)	0	2- 3- 17-	2- 3- -1  0  5  5 17-  1
Curve Equation t 3264bb1 [0,1,0,-21,51] 1
3264bc (6 curves)	0	2- 3- 17-	2- 3-  2  0 -4  2 17-  4
Curve Equation t 3264bc1 [0,1,0,-2177,-36993] 2 3264bc2 [0,1,0,-7297,195455] 4 3264bc3 [0,1,0,-110977,14192255] 4 3264bc4 [0,1,0,14463,1157247] 2 3264bc5 [0,1,0,-1775617,910101503] 4 3264bc6 [0,1,0,-105217,15737087] 2
3264bd (4 curves)	0	2- 3- 17-	2- 3- -2  0  4  2 17-  0
Curve Equation t 3264bd1 [0,1,0,-4,-130] 2 3264bd2 [0,1,0,-409,-3289] 4 3264bd3 [0,1,0,-6529,-205249] 2 3264bd4 [0,1,0,-769,2975] 4
3264be (4 curves)	0	2- 3- 17-	2- 3- -2  4  4 -6 17-  4
Curve Equation t 3264be1 [0,1,0,-209,-1233] 2 3264be2 [0,1,0,-289,-289] 4 3264be3 [0,1,0,-3009,62271] 4 3264be4 [0,1,0,1151,-1153] 2
3264bf (1 curve)	0	2- 3- 17-	2- 3-  3  4  1  5 17- -7
Curve Equation t 3264bf1 [0,1,0,-69,-477] 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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