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	4	Number of curves in isogeny class
Curves	112b1 112b2 112b3 112b4	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	2+  0  2 7-  4  2 -6 -8	Hecke eigenvalues for primes less than 20
L	1.1481057287391	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	56a 448b 1008h 2800a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 112b

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	2	-6	-8	0	6	-8	-2	2	4	8	6	0	-6	4	8	10	-16	-8	-6	-6

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Quadratic twists for isogeny class 112b

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

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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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