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	3600bi	Isogeny class
Conductor	3600	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-233280000000000 = -1 · 215 · 36 · 510	Discriminant
Eigenvalues	2- 3- 5+  2 -3  4 -3 -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-451875,-116918750]	[a1,a2,a3,a4,a6]
Generators	[1097811:11253424:1331]	Generators of the group modulo torsion
j	-349938025/8	j-invariant
L	3.6792369495851	L(r)(E,1)/r!
Ω	0.09206920320567	Real period
R	9.9904116183297	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	450d4 14400dy4 400b4 3600bo2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3600bi4

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
-	-	+	2	-3	4	-3	-5	-6	0	-2	-2	3	-4	-12	6	0	2	-13	12	-11	10	9	-15	-2

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Quadratic twists for elliptic curve 3600bi4

-4	8	-3	5
450d4	14400dy4	400b4	3600bo2

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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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