Cremona's table of elliptic curves

8976 = 2⁴ · 3 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11- 17+	Signs for the Atkin-Lehner involutions
Conductor	8976	Conductor
Count	4	Number of curves in isogeny class
Curves	8976e1 8976e2 8976e3 8976e4	Curves in isogeny class
deg	2304	Modular degree for the optimal curve
Eigenvalues	2+ 3+  2 -4 11- -2 17+ -4	Hecke eigenvalues for primes less than 20
L	1.0662521392017	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	4488e 35904cm 26928p 98736q	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for isogeny class 8976e

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

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Quadratic twists for isogeny class 8976e

-4	8	-3	-11
4488e	35904cm	26928p	98736q

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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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