Cremona's table of elliptic curves

49 = 7²

Field	Data	Notes
Atkin-Lehner	7-	Signs for the Atkin-Lehner involutions
Conductor	49	Conductor
Count	4	Number of curves in isogeny class
Curves	49a1 49a2 49a3 49a4	Curves in isogeny class
deg	1	Modular degree for the optimal curve
Eigenvalues	1  0  0 7-  4  0  0  0	Hecke eigenvalues for primes less than 20
L	0.96665585280841	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	784h 3136d 441d 1225b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 49a

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
1	0	0	-	4	0	0	0	8	2	0	-6	0	-12	0	-10	0	0	4	16	0	8	0	0	0

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Quadratic twists for isogeny class 49a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47
784h	3136d	441d	1225b	49a	5929e	8281g	14161a	17689h	25921a	41209e	47089a	67081c	82369a	90601c	108241a

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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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