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	6	Number of curves in isogeny class
Curves	112c1 112c2 112c3 112c4 112c5 112c6	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2-  2  0 7+  0 -4  6 -2	Hecke eigenvalues for primes less than 20
L	1.3254912396825	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	14a 448f 1008i 2800v	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 112c

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

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Quadratic twists for isogeny class 112c

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
14a	448f	1008i	2800v	784j	13552ba	18928z	32368bd	40432r	59248bb	94192v	107632i

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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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