Cremona's table of elliptic curves

2976 = 2⁵ · 3 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3+ 31+	Signs for the Atkin-Lehner involutions
Class	2976a	Isogeny class
Conductor	2976	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	224	Modular degree for the optimal curve
Δ	-47616 = -1 · 29 · 3 · 31	Discriminant
Eigenvalues	2+ 3+ -3 -2 -1 -1  7  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,8,4]	[a1,a2,a3,a4,a6]
Generators	[0:2:1]	Generators of the group modulo torsion
j	97336/93	j-invariant
L	2.214804454123	L(r)(E,1)/r!
Ω	2.3484537349369	Real period
R	0.47154526000969	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2976f1 5952o1 8928i1 74400cm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2976a1

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	-2	-1	-1	7	5	0	0	+	-2	10	-2	3	2	-14	-1	-1	-1	2	-15	-3	10	-11

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Quadratic twists for elliptic curve 2976a1

-4	8	-3	5	-31
2976f1	5952o1	8928i1	74400cm1	92256j1

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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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