Cremona's table of elliptic curves

176 = 2⁴ · 11

Field	Data	Notes
Atkin-Lehner	2- 11-	Signs for the Atkin-Lehner involutions
Conductor	176	Conductor
Count	2	Number of curves in isogeny class
Curves	176c1 176c2	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2- -1 -3 -2 11- -4  6 -8	Hecke eigenvalues for primes less than 20
L	1.0693142864076	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	44a 704f 1584o 4400s	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 176c

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
-	-1	-3	-2	-	-4	6	-8	3	0	-5	-1	0	10	0	-6	-3	-4	1	-15	-4	-2	-6	-9	-7

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Quadratic twists for isogeny class 176c

-4	8	-3	5	-7	-11	13	17	-19	-23
44a	704f	1584o	4400s	8624ba	1936h	29744o	50864bd	63536bm	93104n

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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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