Cremona's table of elliptic curves

2664 = 2³ · 3² · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 37-	Signs for the Atkin-Lehner involutions
Class	2664c	Isogeny class
Conductor	2664	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	6905088 = 28 · 36 · 37	Discriminant
Eigenvalues	2+ 3-  0 -3  3  0 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-300,-1996]	[a1,a2,a3,a4,a6]
Generators	[-10:2:1]	Generators of the group modulo torsion
j	16000000/37	j-invariant
L	3.1067945138488	L(r)(E,1)/r!
Ω	1.147306853196	Real period
R	0.67697549814033	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	5328e1 21312l1 296b1 66600bm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2664c1

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
+	-	0	-3	3	0	-2	-2	6	2	-4	-	-7	4	-1	-9	-8	-4	12	5	-13	-10	1	2	-12

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Quadratic twists for elliptic curve 2664c1

-4	8	-3	5	37
5328e1	21312l1	296b1	66600bm1	98568q1

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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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