Cremona's table of elliptic curves

3675 = 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	3675q	Isogeny class
Conductor	3675	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	1980	Modular degree for the optimal curve
Δ	-220591875 = -1 · 3 · 54 · 76	Discriminant
Eigenvalues	2 3- 5- 7-  2 -1 -2  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-408,3119]	[a1,a2,a3,a4,a6]
j	-102400/3	j-invariant
L	5.2947524537064	L(r)(E,1)/r!
Ω	1.7649174845688	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	58800hc1 11025bp1 3675f2 75a1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3675q1

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	-	-	-	2	-1	-2	5	6	10	3	2	8	1	-2	-4	10	-7	-3	-8	14	0	-6	0	-17

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Quadratic twists for elliptic curve 3675q1

-4	-3	5	-7
58800hc1	11025bp1	3675f2	75a1

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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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