Cremona's table of elliptic curves

32736 = 2⁵ · 3 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
32736a (2 curves)	0	2+ 3+ 11- 31+	2+ 3+  0  0 11- -2  6  6
Curve Equation t 32736a1 [0,-1,0,-78,-144] 2 32736a2 [0,-1,0,232,-1260] 2
32736b (2 curves)	0	2+ 3+ 11- 31+	2+ 3+ -2  2 11-  4  2 -2
Curve Equation t 32736b1 [0,-1,0,-3574,83440] 2 32736b2 [0,-1,0,-3729,75969] 2
32736c (2 curves)	0	2+ 3- 11+ 31+	2+ 3-  2 -2 11+  4  8 -2
Curve Equation t 32736c1 [0,1,0,-8742,-467820] 2 32736c2 [0,1,0,-157697,-24151665] 2
32736d (2 curves)	1	2+ 3- 11+ 31-	2+ 3-  0  0 11+ -2  6 -6
Curve Equation t Generators 32736d1 [0,1,0,-78,144] 2 [0:12:1] 32736d2 [0,1,0,232,1260] 2 [31:198:1]
32736e (2 curves)	1	2+ 3- 11+ 31-	2+ 3- -2 -2 11+  4  2  2
Curve Equation t Generators 32736e1 [0,1,0,-3574,-83440] 2 [89:558:1] 32736e2 [0,1,0,-3729,-75969] 2 [-39:108:1]
32736f (2 curves)	0	2+ 3- 11- 31-	2+ 3-  2 -2 11-  0  4 -2
Curve Equation t 32736f1 [0,1,0,-822,-9900] 2 32736f2 [0,1,0,-13377,-599985] 2
32736g (4 curves)	0	2- 3+ 11+ 31+	2- 3+  2  0 11+  2 -6  4
Curve Equation t 32736g1 [0,-1,0,-342,2520] 4 32736g2 [0,-1,0,-32,6612] 2 32736g3 [0,-1,0,-672,-2760] 2 32736g4 [0,-1,0,-5457,156993] 2
32736h (2 curves)	0	2- 3+ 11+ 31+	2- 3+  2  2 11+  0  4  2
Curve Equation t 32736h1 [0,-1,0,-822,9900] 2 32736h2 [0,-1,0,-13377,599985] 2
32736i (2 curves)	2	2- 3+ 11+ 31+	2- 3+ -2 -2 11+ -4 -6  2
Curve Equation t Generators 32736i1 [0,-1,0,-54,-120] 2 [-4:4:1]&[20:80:1] 32736i2 [0,-1,0,-209,1089] 2 [-16:9:1]&[-11:44:1]
32736j (4 curves)	1	2- 3+ 11- 31+	2- 3+ -2 -4 11-  6 -2  4
Curve Equation t Generators 32736j1 [0,-1,0,-254,-936] 4 [68:540:1] 32736j2 [0,-1,0,736,-7272] 2 [522:4485:8] 32736j3 [0,-1,0,-1649,25569] 4 [-17:220:1] 32736j4 [0,-1,0,-3664,-84140] 2 [10205:49086:125]
32736k (2 curves)	0	2- 3+ 11- 31-	2- 3+  2  2 11-  4  8  2
Curve Equation t 32736k1 [0,-1,0,-8742,467820] 2 32736k2 [0,-1,0,-157697,24151665] 2
32736l (4 curves)	0	2- 3- 11+ 31-	2- 3- -2  4 11+  6 -2 -4
Curve Equation t 32736l1 [0,1,0,-254,936] 4 32736l2 [0,1,0,736,7272] 4 32736l3 [0,1,0,-1649,-25569] 2 32736l4 [0,1,0,-3664,84140] 2
32736m (4 curves)	1	2- 3- 11- 31-	2- 3-  2  0 11-  2 -6 -4
Curve Equation t Generators 32736m1 [0,1,0,-342,-2520] 4 [70152:816255:512] 32736m2 [0,1,0,-32,-6612] 2 [547:12804:1] 32736m3 [0,1,0,-672,2760] 2 [2946:30070:27] 32736m4 [0,1,0,-5457,-156993] 2 [-192715402907:-740951520:4483962449]
32736n (2 curves)	1	2- 3- 11- 31-	2- 3- -2  2 11- -4 -6 -2
Curve Equation t Generators 32736n1 [0,1,0,-54,120] 2 [14:48:1] 32736n2 [0,1,0,-209,-1089] 2 [-9:12:1]

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

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