Cremona's table of elliptic curves

1210 = 2 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	1210j	Isogeny class
Conductor	1210	Conductor
∏ cp	28	Product of Tamagawa factors cp
deg	3360	Modular degree for the optimal curve
Δ	-1509086522240 = -1 · 27 · 5 · 119	Discriminant
Eigenvalues	2-  1 5+ -5 11- -2 -3  7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-10711,-431639]	[a1,a2,a3,a4,a6]
Generators	[318:5165:1]	Generators of the group modulo torsion
j	-76711450249/851840	j-invariant
L	3.6123376270105	L(r)(E,1)/r!
Ω	0.23449009312084	Real period
R	0.55018127371816	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	9680s1 38720bk1 10890bb1 6050h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1210j1

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
-	1	+	-5	-	-2	-3	7	-6	3	-7	-7	-6	-8	6	-3	-6	1	8	3	-2	10	6	9	-4

---

Quadratic twists for elliptic curve 1210j1

-4	8	-3	5	-7	-11
9680s1	38720bk1	10890bb1	6050h1	59290ej1	110c1

---

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