Cremona's table of elliptic curves

208 = 2⁴ · 13

Field	Data	Notes
Atkin-Lehner	2- 13-	Signs for the Atkin-Lehner involutions
Conductor	208	Conductor
Count	3	Number of curves in isogeny class
Curves	208a1 208a2 208a3	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	2- -1 -3  1 -6 13- -3 -2	Hecke eigenvalues for primes less than 20
L	1.1571474716311	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	26a 832g 1872s 5200p	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 208a

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 208a

-4	8	-3	5	-7	-11	13	17	-19	-23
26a	832g	1872s	5200p	10192u	25168bb	2704g	60112x	75088t	110032q

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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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