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	3	Number of curves in isogeny class
Curves	176b1 176b2 176b3	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2-  1  1  2 11+  4 -2  0	Hecke eigenvalues for primes less than 20
L	1.4588166169385	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	11a 704k 1584p 4400m	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 176b

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	1	2	+	4	-2	0	1	0	-7	3	-8	6	-8	-6	-5	12	7	3	4	10	6	15	-7

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Quadratic twists for isogeny class 176b

-4	8	-3	5	-7	-11	13	17	-19	-23
11a	704k	1584p	4400m	8624r	1936g	29744z	50864bo	63536u	93104z

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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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