Cremona's table of elliptic curves

259 = 7 · 37

Field	Data	Notes
Atkin-Lehner	7- 37+	Signs for the Atkin-Lehner involutions
Conductor	259	Conductor
Count	2	Number of curves in isogeny class
Curves	259a1 259a2	Curves in isogeny class
deg	36	Modular degree for the optimal curve
Eigenvalues	1  0  4 7-  4  4  0 -6	Hecke eigenvalues for primes less than 20
L	1.9290565396937	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	4144f 16576g 2331g 6475a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 259a

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

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Quadratic twists for isogeny class 259a

-4	8	-3	5	-7	-11	13	17	-19	37
4144f	16576g	2331g	6475a	1813a	31339c	43771d	74851d	93499k	9583c

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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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