Cremona's table of elliptic curves

3705 = 3 · 5 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
3705a (2 curves)	0	3+ 5+ 13+ 19-	1 3+ 5+ -4  0 13+ -8 19-
Curve Equation t 3705a1 [1,1,0,-54368,15750147] 2 3705a2 [1,1,0,-1333763,591222018] 2
3705b (1 curve)	0	3+ 5+ 13+ 19-	-2 3+ 5+ -1  3 13+ -5 19-
Curve Equation t 3705b1 [0,-1,1,-4766,-2105614] 1
3705c (4 curves)	1	3+ 5- 13+ 19-	-1 3+ 5- -4  0 13+  2 19-
Curve Equation t Generators 3705c1 [1,1,1,355,-358] 4 [50:356:1] 3705c2 [1,1,1,-1450,-4690] 4 [-10:99:1] 3705c3 [1,1,1,-17505,-897348] 2 [-78:71:1] 3705c4 [1,1,1,-14275,646820] 2 [85:195:1]
3705d (1 curve)	1	3+ 5- 13- 19+	-2 3+ 5-  1  1 13- -1 19+
Curve Equation t Generators 3705d1 [0,-1,1,-9880,381306] 1 [0:617:1]
3705e (6 curves)	0	3+ 5- 13- 19-	-1 3+ 5-  0 -4 13- -6 19-
Curve Equation t 3705e1 [1,1,1,85,-3520] 4 3705e2 [1,1,1,-3040,-63520] 8 3705e3 [1,1,1,-48165,-4088670] 4 3705e4 [1,1,1,-7915,184130] 4 3705e5 [1,1,1,-770640,-260711790] 2 3705e6 [1,1,1,-47690,-4172650] 2
3705f (2 curves)	0	3- 5+ 13+ 19+	1 3- 5+ -4  0 13+  0 19+
Curve Equation t 3705f1 [1,0,1,36,37] 2 3705f2 [1,0,1,-159,271] 2
3705g (2 curves)	0	3- 5+ 13- 19-	-1 3- 5+  0  0 13-  4 19-
Curve Equation t 3705g1 [1,0,0,-11,-24] 2 3705g2 [1,0,0,-206,-1155] 2
3705h (1 curve)	1	3- 5- 13+ 19+	-2 3- 5- -1 -3 13+ -3 19+
Curve Equation t Generators 3705h1 [0,1,1,220,1256] 1 [55:-428:1]

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

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