Cremona's table of elliptic curves

10680 = 2³ · 3 · 5 · 89

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 89-	Signs for the Atkin-Lehner involutions
Conductor	10680	Conductor
Count	4	Number of curves in isogeny class
Curves	10680a1 10680a2 10680a3 10680a4	Curves in isogeny class
deg	9984	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5-  0 -4  2 -6 -4	Hecke eigenvalues for primes less than 20
L	3.8059111657114	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	21360e 85440q 32040g 53400s	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 10680a

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	2	-6	-4	0	6	8	-6	10	12	-12	14	4	-2	-8	16	10	-8	-12	-	-6

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Quadratic twists for isogeny class 10680a

-4	8	-3	5
21360e	85440q	32040g	53400s

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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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