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	3600bk	Isogeny class
Conductor	3600	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	1574640000000000 = 213 · 39 · 510	Discriminant
Eigenvalues	2- 3- 5+ -4  0 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1038675,407439250]	[a1,a2,a3,a4,a6]
Generators	[465:5000:1]	Generators of the group modulo torsion
j	2656166199049/33750	j-invariant
L	3.1913633903325	L(r)(E,1)/r!
Ω	0.43273465951304	Real period
R	0.9218591925141	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	450g4 14400ef5 1200p4 720j5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3600bk5

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

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Quadratic twists for elliptic curve 3600bk5

-4	8	-3	5
450g4	14400ef5	1200p4	720j5

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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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