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	16	Product of Tamagawa factors cp
Δ	247949112960000000 = 213 · 318 · 57	Discriminant
Eigenvalues	2- 3- 5+ -4  0 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-246675,-40616750]	[a1,a2,a3,a4,a6]
Generators	[-345:1850:1]	Generators of the group modulo torsion
j	35578826569/5314410	j-invariant
L	3.1913633903325	L(r)(E,1)/r!
Ω	0.21636732975652	Real period
R	3.6874367700564	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	450g5 14400ef4 1200p5 720j4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3600bk4

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 3600bk4

-4	8	-3	5
450g5	14400ef4	1200p5	720j4

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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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