Cremona's table of elliptic curves

310 = 2 · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 5+ 31-	Signs for the Atkin-Lehner involutions
Conductor	310	Conductor
Count	4	Number of curves in isogeny class
Curves	310b1 310b2 310b3 310b4	Curves in isogeny class
deg	96	Modular degree for the optimal curve
Eigenvalues	2- -2 5+ -4  0 -4  0 -4	Hecke eigenvalues for primes less than 20
L	1.64151219334	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2480i 9920o 2790m 1550d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 310b

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
-	-2	+	-4	0	-4	0	-4	-6	6	-	8	-6	-10	0	0	-12	14	8	0	-4	8	6	-18	-10

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Quadratic twists for isogeny class 310b

-4	8	-3	5	-7	-11	13	17	-19	-31
2480i	9920o	2790m	1550d	15190bd	37510e	52390c	89590m	111910a	9610a

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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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