Cremona's table of elliptic curves

1925 = 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	5+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	1925g	Isogeny class
Conductor	1925	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	120	Modular degree for the optimal curve
Δ	1925 = 52 · 7 · 11	Discriminant
Eigenvalues	-2  0 5+ 7- 11-  3  3 -7	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-5,-4]	[a1,a2,a3,a4,a6]
Generators	[-1:0:1]	Generators of the group modulo torsion
j	552960/77	j-invariant
L	1.5966648509541	L(r)(E,1)/r!
Ω	3.2222252179854	Real period
R	0.49551621719118	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	30800y1 123200bj1 17325bb1 1925j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1925g1

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	0	+	-	-	3	3	-7	-4	-4	2	3	5	-4	-8	9	-12	-9	-13	3	-3	10	12	10	-4

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Quadratic twists for elliptic curve 1925g1

-4	8	-3	5	-7	-11
30800y1	123200bj1	17325bb1	1925j1	13475k1	21175k1

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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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