Cremona's table of elliptic curves

20280 = 2³ · 3 · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 13+	Signs for the Atkin-Lehner involutions
Conductor	20280	Conductor
Count	6	Number of curves in isogeny class
Curves	20280k1 20280k2 20280k3 20280k4 20280k5 20280k6	Curves in isogeny class
deg	15360	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  0  4 13+ -6  4	Hecke eigenvalues for primes less than 20
L	2.8167549003723	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	40560a 60840bs 101400cb 120a	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for isogeny class 20280k

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

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Quadratic twists for isogeny class 20280k

-4	-3	5	13
40560a	60840bs	101400cb	120a

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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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