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	36	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	3704400 = 24 · 33 · 52 · 73	Discriminant
Eigenvalues	2- 3+ 5+ 7-  0 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-348,2497]	[a1,a2,a3,a4,a6]
Generators	[-16:63:1]	Generators of the group modulo torsion
j	10788913152/8575	j-invariant
L	2.5544545279254	L(r)(E,1)/r!
Ω	2.4708965813577	Real period
R	1.0338168530395	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	5040v1 20160v1 1260d3 6300a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1260b1

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

---

Quadratic twists for elliptic curve 1260b1

-4	8	-3	5	-7
5040v1	20160v1	1260d3	6300a1	8820e1

---

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