Cremona's table of elliptic curves

806 = 2 · 13 · 31

Field	Data	Notes
Atkin-Lehner	2+ 13+ 31+	Signs for the Atkin-Lehner involutions
Conductor	806	Conductor
Count	1	Number of curves in isogeny class
Curves	806b1	Curves in isogeny class
deg	176	Modular degree for the optimal curve
Eigenvalues	2+ -1 -1  1  2 13+  7 -4	Hecke eigenvalues for primes less than 20
L	1.4834831912095	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6448f 25792p 7254m 20150m	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 806b

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

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Quadratic twists for isogeny class 806b

-4	8	-3	5	-7	-11	13	-31
6448f	25792p	7254m	20150m	39494l	97526z	10478l	24986c

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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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