Cremona's table of elliptic curves

2112 = 2⁶ · 3 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 11+	Signs for the Atkin-Lehner involutions
Class	2112x	Isogeny class
Conductor	2112	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-46246920192 = -1 · 219 · 36 · 112	Discriminant
Eigenvalues	2- 3-  0 -2 11+  4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,287,-10081]	[a1,a2,a3,a4,a6]
Generators	[23:96:1]	Generators of the group modulo torsion
j	9938375/176418	j-invariant
L	3.423589553502	L(r)(E,1)/r!
Ω	0.55278785996568	Real period
R	0.51610961477376	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	2112e2 528g2 6336ce2 52800eg2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2112x2

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	-2	+	4	-6	-4	-6	-6	-8	10	6	8	6	0	0	-8	-4	-6	2	-14	-12	-6	14

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Quadratic twists for elliptic curve 2112x2

-4	8	-3	5	-7	-11
2112e2	528g2	6336ce2	52800eg2	103488ff2	23232dm2

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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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