Cremona's table of elliptic curves

714 = 2 · 3 · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
714a (2 curves)	1	2+ 3+ 7+ 17+	2+ 3+  2 7+ -6  0 17+ -2
Curve Equation t Generators 714a1 [1,1,0,-3334,81940] 2 [13:196:1] 714a2 [1,1,0,-55174,4965268] 2 [49:1519:1]
714b (1 curve)	0	2+ 3+ 7+ 17-	2+ 3+  1 7+  3 -3 17-  6
Curve Equation t 714b1 [1,1,0,-37,-107] 1
714c (1 curve)	0	2+ 3+ 7- 17+	2+ 3+  1 7-  5 -1 17+ -6
Curve Equation t 714c1 [1,1,0,-14597,-686643] 1
714d (2 curves)	1	2+ 3+ 7- 17-	2+ 3+ -2 7- -2  4 17- -2
Curve Equation t Generators 714d1 [1,1,0,-21,45] 2 [2:3:1] 714d2 [1,1,0,-381,2709] 2 [9:6:1]
714e (1 curve)	0	2- 3+ 7+ 17+	2- 3+  3 7+  1  1 17+  6
Curve Equation t 714e1 [1,1,1,-2204,-41731] 1
714f (4 curves)	1	2- 3+ 7+ 17-	2- 3+ -2 7+  0 -6 17-  0
Curve Equation t Generators 714f1 [1,1,1,1,101] 4 [-3:10:1] 714f2 [1,1,1,-319,2021] 4 [-7:66:1] 714f3 [1,1,1,-679,-3883] 2 [-19:60:1] 714f4 [1,1,1,-5079,137205] 2 [41:-18:1]
714g (6 curves)	0	2- 3+ 7- 17-	2- 3+ -2 7-  4 -2 17-  4
Curve Equation t 714g1 [1,1,1,-70244,7127525] 8 714g2 [1,1,1,-90724,2605541] 8 714g3 [1,1,1,-859044,-304722459] 4 714g4 [1,1,1,349916,20936165] 4 714g5 [1,1,1,-13718604,-19563199515] 2 714g6 [1,1,1,-292604,-699871003] 2
714h (1 curve)	0	2- 3+ 7- 17-	2- 3+  3 7- -1  3 17- -6
Curve Equation t 714h1 [1,1,1,1,-1] 1
714i (3 curves)	0	2- 3- 7- 17+	2- 3- -3 7-  3  5 17+  2
Curve Equation t 714i1 [1,0,0,108,11664] 9 714i2 [1,0,0,-972,-315144] 3 714i3 [1,0,0,-381702,-90803346] 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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