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	1	Number of curves in isogeny class
Curves	176a1	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	2+  3 -3  2 11-  0 -6 -4	Hecke eigenvalues for primes less than 20
L	1.655423653162	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	88a 704i 1584d 4400e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 176a

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
+	3	-3	2	-	0	-6	-4	-1	-8	7	-1	4	-6	8	2	1	4	5	-3	16	-2	2	15	-7

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Quadratic twists for isogeny class 176a

-4	8	-3	5	-7	-11	13	17	-19	-23
88a	704i	1584d	4400e	8624l	1936e	29744d	50864l	63536j	93104d

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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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