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	338f1 338f2	Curves in isogeny class
deg	336	Modular degree for the optimal curve
Eigenvalues	2+ -3  1 -1  2 13+ -3 -6	Hecke eigenvalues for primes less than 20
L	0.95305624304778	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2704j 10816p 3042k 8450t	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 338f

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 338f

-4	8	-3	5	-7	-11	13	17	-19
2704j	10816p	3042k	8450t	16562r	40898bx	26b	97682h	122018bh

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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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