Cremona's table of elliptic curves

2925 = 3² · 5² · 13

Field	Data	Notes
Atkin-Lehner	3+ 5+ 13+	Signs for the Atkin-Lehner involutions
Class	2925b	Isogeny class
Conductor	2925	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-3378402421875 = -1 · 39 · 57 · 133	Discriminant
Eigenvalues	0 3+ 5+  1 -3 13+  3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,2700,70031]	[a1,a2,a3,a4,a6]
Generators	[15:337:1]	Generators of the group modulo torsion
j	7077888/10985	j-invariant
L	2.8104508892921	L(r)(E,1)/r!
Ω	0.54004973578783	Real period
R	0.65050742159706	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	46800bx2 2925a1 585d2 38025c2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 2925b2

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
0	+	+	1	-3	+	3	-4	9	-6	2	1	-3	-2	6	-9	-12	5	4	9	-14	-7	0	15	-5

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Quadratic twists for elliptic curve 2925b2

-4	-3	5	13
46800bx2	2925a1	585d2	38025c2

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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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