Cremona's table of elliptic curves

880 = 2⁴ · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 5- 11-	Signs for the Atkin-Lehner involutions
Conductor	880	Conductor
Count	4	Number of curves in isogeny class
Curves	880c1 880c2 880c3 880c4	Curves in isogeny class
deg	576	Modular degree for the optimal curve
Eigenvalues	2+  0 5- -4 11-  6 -6 -4	Hecke eigenvalues for primes less than 20
L	2.292780835453	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	440c 3520p 7920g 4400c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 880c

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	-	-4	-	6	-6	-4	-4	-2	-8	-10	10	0	-4	-10	4	-2	8	0	-14	16	8	-6	2

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Quadratic twists for isogeny class 880c

-4	8	-3	5	-7	-11
440c	3520p	7920g	4400c	43120j	9680g

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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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