Cremona's table of elliptic curves

1425 = 3 · 5² · 19

Field	Data	Notes
Atkin-Lehner	3+ 5+ 19+	Signs for the Atkin-Lehner involutions
Class	1425b	Isogeny class
Conductor	1425	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1680	Modular degree for the optimal curve
Δ	-17530171875 = -1 · 310 · 56 · 19	Discriminant
Eigenvalues	2 3+ 5+ -3 -3  6 -3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,492,-4957]	[a1,a2,a3,a4,a6]
Generators	[618:5585:8]	Generators of the group modulo torsion
j	841232384/1121931	j-invariant
L	4.11087149417	L(r)(E,1)/r!
Ω	0.65573765819986	Real period
R	3.1345397376256	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	22800di1 91200dx1 4275i1 57c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1425b1

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	-3	6	-3	+	-4	-10	2	-8	-8	1	-3	6	0	7	-8	12	11	0	-4	10	2

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Quadratic twists for elliptic curve 1425b1

-4	8	-3	5	-7	-19
22800di1	91200dx1	4275i1	57c1	69825ca1	27075u1

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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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