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	629b1	Curves in isogeny class
deg	360	Modular degree for the optimal curve
Eigenvalues	2  3 -2  1 -3  4 17-  2	Hecke eigenvalues for primes less than 20
L	4.4533939179586	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	10064g 40256t 5661e 15725e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 629b

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
2	3	-2	1	-3	4	-	2	-2	-6	-2	+	-3	4	3	-3	0	2	4	-13	9	0	5	16	8

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Quadratic twists for isogeny class 629b

-4	8	-3	5	-7	-11	13	17	37
10064g	40256t	5661e	15725e	30821a	76109d	106301e	10693f	23273d

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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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