Cremona's table of elliptic curves

3600 = 2⁴ · 3² · 5²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+	Signs for the Atkin-Lehner involutions
Class	3600bg	Isogeny class
Conductor	3600	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-125971200 = -1 · 28 · 39 · 52	Discriminant
Eigenvalues	2- 3- 5+ -1  6 -5 -6 -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-120,-740]	[a1,a2,a3,a4,a6]
Generators	[14:18:1]	Generators of the group modulo torsion
j	-40960/27	j-invariant
L	3.4998060736814	L(r)(E,1)/r!
Ω	0.70054357063313	Real period
R	1.2489608856585	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	900d1 14400dv1 1200o1 3600bl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3600bg1

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	6	-5	-6	-5	6	6	1	-2	0	-1	-6	-12	-6	-13	11	0	-2	-8	6	0	7

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Quadratic twists for elliptic curve 3600bg1

-4	8	-3	5
900d1	14400dv1	1200o1	3600bl1

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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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