Cremona's table of elliptic curves

309 = 3 · 103

Field	Data	Notes
Atkin-Lehner	3- 103-	Signs for the Atkin-Lehner involutions
Conductor	309	Conductor
Count	1	Number of curves in isogeny class
Curves	309a1	Curves in isogeny class
deg	20	Modular degree for the optimal curve
Eigenvalues	-1 3- -1 -2 -2 -5  0 -8	Hecke eigenvalues for primes less than 20
L	1.2276894796603	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4944d 19776f 927a 7725a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 309a

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	-2	-2	-5	0	-8	1	-2	5	2	8	-11	-2	10	-11	-5	11	16	12	6	1	-6	-7

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Quadratic twists for isogeny class 309a

-4	8	-3	5	-7	-11	13	17	-19	-103
4944d	19776f	927a	7725a	15141c	37389d	52221g	89301a	111549a	31827a

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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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