Cremona's table of elliptic curves

26 = 2 · 13

Field	Data	Notes
Atkin-Lehner	2- 13+	Signs for the Atkin-Lehner involutions
Conductor	26	Conductor
Count	2	Number of curves in isogeny class
Curves	26b1 26b2	Curves in isogeny class
deg	2	Modular degree for the optimal curve
Eigenvalues	2- -3 -1  1 -2 13+ -3  6	Hecke eigenvalues for primes less than 20
L	0.62096534954906	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	208d 832f 234a 650f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 26b

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
-	-3	-1	1	-2	+	-3	6	-4	2	4	3	0	-5	13	12	-10	-8	-2	-5	-10	-4	0	6	14

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Quadratic twists for isogeny class 26b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59	61	-67
208d	832f	234a	650f	1274n	3146i	338f	7514i	9386f	13754j	21866c	24986j	35594c	43706v	48074a	57434h	73034d	90506b	96746d	116714d

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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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