Cremona's table of elliptic curves

629 = 17 · 37

Field	Data	Notes
Atkin-Lehner	17- 37-	Signs for the Atkin-Lehner involutions
Conductor	629	Conductor
Count	1	Number of curves in isogeny class
Curves	629c1	Curves in isogeny class
deg	112	Modular degree for the optimal curve
Eigenvalues	0 -3  0  3 -1  0 17- -2	Hecke eigenvalues for primes less than 20
L	1.303779797179	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	10064j 40256k 5661f 15725b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 629c

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	-3	0	3	-1	0	-	-2	-2	2	-8	-	3	-12	3	-11	-4	4	4	-3	-1	-2	1	6	0

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Quadratic twists for isogeny class 629c

-4	8	-3	5	-7	-11	13	17	37
10064j	40256k	5661f	15725b	30821e	76109e	106301c	10693b	23273a

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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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