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	1210g	Isogeny class
Conductor	1210	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	2400	Modular degree for the optimal curve
Δ	-1948717100000 = -1 · 25 · 55 · 117	Discriminant
Eigenvalues	2+ -1 5- -3 11-  6  7 -5	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,1208,65696]	[a1,a2,a3,a4,a6]
Generators	[127:1449:1]	Generators of the group modulo torsion
j	109902239/1100000	j-invariant
L	1.6859501988891	L(r)(E,1)/r!
Ω	0.6103873966184	Real period
R	0.13810493206687	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	9680y1 38720l1 10890bu1 6050z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1210g1

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	-	-3	-	6	7	-5	-6	-5	-3	3	-2	-4	-2	-1	-10	-7	8	7	-14	-10	6	-15	-12

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Quadratic twists for elliptic curve 1210g1

-4	8	-3	5	-7	-11
9680y1	38720l1	10890bu1	6050z1	59290o1	110a1

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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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