Cremona's table of elliptic curves

62 = 2 · 31

Field	Data	Notes
Atkin-Lehner	2- 31+	Signs for the Atkin-Lehner involutions
Conductor	62	Conductor
Count	4	Number of curves in isogeny class
Curves	62a1 62a2 62a3 62a4	Curves in isogeny class
deg	2	Modular degree for the optimal curve
Eigenvalues	2-  0 -2  0  0  2 -6  4	Hecke eigenvalues for primes less than 20
L	1.1087406603618	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	496f 1984b 558c 1550a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 62a

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	0	-2	0	0	2	-6	4	8	2	+	10	-6	8	-8	-6	-12	-6	-12	8	10	-8	8	-6	2

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Quadratic twists for isogeny class 62a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43
496f	1984b	558c	1550a	3038i	7502a	10478e	17918e	22382c	32798e	52142b	1922d	84878c	104222a	114638b

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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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