Cremona's table of elliptic curves

2112 = 2⁶ · 3 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11-	Signs for the Atkin-Lehner involutions
Conductor	2112	Conductor
Count	4	Number of curves in isogeny class
Curves	2112h1 2112h2 2112h3 2112h4	Curves in isogeny class
deg	3840	Modular degree for the optimal curve
Eigenvalues	2+ 3+ -2  4 11-  2  2 -4	Hecke eigenvalues for primes less than 20
L	1.5009222044407	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2112n 1056d 6336n 52800dh	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2112h

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	4	-	2	2	-4	0	6	4	2	-6	4	-8	6	-12	10	-4	0	10	12	-12	10	18

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Quadratic twists for isogeny class 2112h

-4	8	-3	5	-7	-11
2112n	1056d	6336n	52800dh	103488dx	23232v

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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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