Cremona's table of elliptic curves

338 = 2 · 13²

Field	Data	Notes
Atkin-Lehner	2- 13+	Signs for the Atkin-Lehner involutions
Conductor	338	Conductor
Count	3	Number of curves in isogeny class
Curves	338c1 338c2 338c3	Curves in isogeny class
deg	112	Modular degree for the optimal curve
Eigenvalues	2-  1  3  1 -6 13+ -3 -2	Hecke eigenvalues for primes less than 20
L	2.573914226694	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2704g 10816i 3042f 8450c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 338c

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	3	1	-6	+	-3	-2	0	6	4	7	0	-1	-3	0	6	8	-14	3	-2	8	-12	6	10

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Quadratic twists for isogeny class 338c

-4	8	-3	5	-7	-11	13	17	-19
2704g	10816i	3042f	8450c	16562bm	40898i	26a	97682m	122018l

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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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