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	1260j	Isogeny class
Conductor	1260	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	187535250000 = 24 · 37 · 56 · 73	Discriminant
Eigenvalues	2- 3- 5- 7- -6 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2712,50209]	[a1,a2,a3,a4,a6]
Generators	[-52:225:1]	Generators of the group modulo torsion
j	189123395584/16078125	j-invariant
L	2.7116677759753	L(r)(E,1)/r!
Ω	0.98512680258589	Real period
R	0.4587679760036	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	5040bl3 20160bv3 420c3 6300k3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1260j3

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
-	-	-	-	-6	-4	-6	2	0	-6	-10	2	6	-4	0	12	0	14	-4	-6	-4	-16	12	-6	-16

---

Quadratic twists for elliptic curve 1260j3

-4	8	-3	5	-7
5040bl3	20160bv3	420c3	6300k3	8820s3

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations