Cremona's table of elliptic curves

1260 = 2² · 3² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	1260b	Isogeny class
Conductor	1260	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	34445250000 = 24 · 39 · 56 · 7	Discriminant
Eigenvalues	2- 3+ 5+ 7-  0 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1188,-12987]	[a1,a2,a3,a4,a6]
Generators	[-174:405:8]	Generators of the group modulo torsion
j	588791808/109375	j-invariant
L	2.5544545279254	L(r)(E,1)/r!
Ω	0.8236321937859	Real period
R	3.1014505591186	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5040v3 20160v3 1260d1 6300a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1260b3

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	-4	-6	2	-6	0	2	2	-6	-4	0	6	-12	-10	-4	-12	-4	8	-12	-6	8

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Quadratic twists for elliptic curve 1260b3

-4	8	-3	5	-7
5040v3	20160v3	1260d1	6300a3	8820e3

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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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