Cremona's table of elliptic curves

3690 = 2 · 3² · 5 · 41

Class	r	Atkin-Lehner	Eigenvalues
3690a (2 curves)	0	2+ 3+ 5+ 41-	2+ 3+ 5+ -1  0 -4  6 -1
Curve Equation t 3690a1 [1,-1,0,60,360] 3 3690a2 [1,-1,0,-555,-11899] 1
3690b (1 curve)	0	2+ 3+ 5- 41+	2+ 3+ 5-  1  4  0  6  7
Curve Equation t 3690b1 [1,-1,0,-21459,-1204587] 1
3690c (1 curve)	1	2+ 3+ 5- 41-	2+ 3+ 5- -5  0  4  2 -3
Curve Equation t Generators 3690c1 [1,-1,0,-22479,1558853] 1 [-83:1729:1]
3690d (8 curves)	0	2+ 3- 5+ 41+	2+ 3- 5+  0 -4 -2 -2 -4
Curve Equation t 3690d1 [1,-1,0,-44010,-3539084] 2 3690d2 [1,-1,0,-55530,-1532300] 4 3690d3 [1,-1,0,-505530,137337700] 4 3690d4 [1,-1,0,210150,-12106364] 2 3690d5 [1,-1,0,-8070030,8825922400] 4 3690d6 [1,-1,0,-141030,331033000] 2 3690d7 [1,-1,0,-129120480,564762219070] 2 3690d8 [1,-1,0,-8051580,8868272530] 2
3690e (1 curve)	0	2+ 3- 5+ 41+	2+ 3- 5+  3  2  4  4  5
Curve Equation t 3690e1 [1,-1,0,0,-410] 1
3690f (4 curves)	0	2+ 3- 5+ 41+	2+ 3- 5+  4  0 -2 -2  0
Curve Equation t 3690f1 [1,-1,0,-12480,512000] 2 3690f2 [1,-1,0,-196800,33652736] 4 3690f3 [1,-1,0,-3148800,2151417536] 2 3690f4 [1,-1,0,-193920,34683200] 2
3690g (2 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+  1  2  0 -4 -1
Curve Equation t Generators 3690g1 [1,-1,0,20745,431325] 1 [-3:609:1] 3690g2 [1,-1,0,-10818405,13698680715] 1 [1887:-21:1]
3690h (2 curves)	1	2+ 3- 5- 41+	2+ 3- 5- -2  2  2 -4 -6
Curve Equation t Generators 3690h1 [1,-1,0,-549,-2795] 2 [-19:32:1] 3690h2 [1,-1,0,-7749,-260555] 2 [-51:32:1]
3690i (2 curves)	1	2+ 3- 5- 41+	2+ 3- 5- -2 -2  6  0 -2
Curve Equation t Generators 3690i1 [1,-1,0,-474354,-120634272] 2 [-458:854:1] 3690i2 [1,-1,0,-7505604,-7912665522] 2 [-1583:854:1]
3690j (2 curves)	1	2+ 3- 5- 41+	2+ 3- 5- -2 -2 -6  6 -2
Curve Equation t Generators 3690j1 [1,-1,0,-144,0] 2 [-9:27:1] 3690j2 [1,-1,0,576,-432] 2 [12:84:1]
3690k (1 curve)	1	2+ 3- 5- 41+	2+ 3- 5-  3 -2 -4  0  3
Curve Equation t Generators 3690k1 [1,-1,0,-189,1053] 1 [9:0:1]
3690l (4 curves)	0	2+ 3- 5- 41-	2+ 3- 5- -4  6 -4  0  2
Curve Equation t 3690l1 [1,-1,0,-4644,-97200] 2 3690l2 [1,-1,0,9756,-589680] 2 3690l3 [1,-1,0,-114804,14992128] 6 3690l4 [1,-1,0,-92304,21026628] 6
3690m (1 curve)	0	2- 3+ 5+ 41+	2- 3+ 5+ -5  0  4 -2 -3
Curve Equation t 3690m1 [1,-1,1,-2498,-56903] 1
3690n (1 curve)	1	2- 3+ 5+ 41-	2- 3+ 5+  1 -4  0 -6  7
Curve Equation t Generators 3690n1 [1,-1,1,-193133,32716981] 1 [253:-100:1]
3690o (2 curves)	1	2- 3+ 5- 41+	2- 3+ 5- -1  0 -4 -6 -1
Curve Equation t Generators 3690o1 [1,-1,1,-62,461] 3 [-9:19:1] 3690o2 [1,-1,1,538,-10259] 1 [19:71:1]
3690p (2 curves)	1	2- 3- 5+ 41+	2- 3- 5+ -2 -2 -2  4  2
Curve Equation t Generators 3690p1 [1,-1,1,-1373,6081] 2 [-37:90:1] 3690p2 [1,-1,1,-12623,-538419] 2 [-546:595:8]
3690q (2 curves)	1	2- 3- 5+ 41+	2- 3- 5+ -2  6 -2 -8 -6
Curve Equation t Generators 3690q1 [1,-1,1,-128,-413] 2 [-7:13:1] 3690q2 [1,-1,1,-1928,-32093] 2 [-25:13:1]
3690r (4 curves)	0	2- 3- 5+ 41-	2- 3- 5+  2  0 -4  0  8
Curve Equation t 3690r1 [1,-1,1,-1508,-21769] 2 3690r2 [1,-1,1,-24008,-1425769] 2 3690r3 [1,-1,1,-13883,623531] 6 3690r4 [1,-1,1,-28283,-879829] 6
3690s (2 curves)	0	2- 3- 5+ 41-	2- 3- 5+ -2  0 -4  6 -4
Curve Equation t 3690s1 [1,-1,1,-473,1397] 2 3690s2 [1,-1,1,1777,9497] 2
3690t (4 curves)	0	2- 3- 5- 41+	2- 3- 5-  0  4  2  6  0
Curve Equation t 3690t1 [1,-1,1,-77,-2059] 2 3690t2 [1,-1,1,-2957,-60811] 4 3690t3 [1,-1,1,-47237,-3939739] 2 3690t4 [1,-1,1,-4757,23429] 2
3690u (2 curves)	1	2- 3- 5- 41-	2- 3- 5- -1 -6 -4  0  5
Curve Equation t Generators 3690u1 [1,-1,1,1093,-398581] 1 [729:19318:1] 3690u2 [1,-1,1,-9842,10768241] 3 [-81:3361:1]

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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