Cremona's table of elliptic curves

112 = 2⁴ · 7

Field	Data	Notes
Atkin-Lehner	2+ 7+	Signs for the Atkin-Lehner involutions
Conductor	112	Conductor
Count	2	Number of curves in isogeny class
Curves	112a1 112a2	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2+ -2 -4 7+  0  0 -2  2	Hecke eigenvalues for primes less than 20
L	0.80930072859772	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	56b 448e 1008f 2800g	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 112a

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

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Quadratic twists for isogeny class 112a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
56b	448e	1008f	2800g	784e	13552i	18928h	32368e	40432f	59248p	94192d	107632b

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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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