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	2112m	Isogeny class
Conductor	2112	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	256	Modular degree for the optimal curve
Δ	540672 = 214 · 3 · 11	Discriminant
Eigenvalues	2+ 3- -2  0 11+ -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-49,-145]	[a1,a2,a3,a4,a6]
j	810448/33	j-invariant
L	1.8059425048741	L(r)(E,1)/r!
Ω	1.8059425048741	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2112w1 264b1 6336z1 52800c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2112m1

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
+	-	-2	0	+	-2	6	0	4	-2	0	10	6	8	-4	6	12	-2	-4	12	-14	16	12	10	-14

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Quadratic twists for elliptic curve 2112m1

-4	8	-3	5	-7	-11
2112w1	264b1	6336z1	52800c1	103488r1	23232cb1

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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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