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	2	Number of curves in isogeny class
Curves	338b1 338b2	Curves in isogeny class
deg	156	Modular degree for the optimal curve
Eigenvalues	2-  0 -1  4  4 13+  3  0	Hecke eigenvalues for primes less than 20
L	2.0867726373932	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2704e 10816a 3042b 8450b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 338b

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
-	0	-1	4	4	+	3	0	-4	-1	4	3	-9	-8	-8	-9	-4	7	4	-8	11	-4	0	-6	2

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Quadratic twists for isogeny class 338b

-4	8	-3	5	-7	-11	13	17	-19
2704e	10816a	3042b	8450b	16562be	40898f	338a	97682k	122018e

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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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