Cremona's table of elliptic curves

13860 = 2² · 3² · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7- 11-	Signs for the Atkin-Lehner involutions
Conductor	13860	Conductor
Count	4	Number of curves in isogeny class
Curves	13860c1 13860c2 13860c3 13860c4	Curves in isogeny class
deg	10368	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ 7- 11-  2 -6 -4	Hecke eigenvalues for primes less than 20
L	1.6204033863258	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	55440bu 13860f 69300e 97020y	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 13860c

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	-6	-4	0	-6	8	-10	6	8	0	-6	6	-4	14	0	2	-10	-6	-18	8

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Quadratic twists for isogeny class 13860c

-4	-3	5	-7
55440bu	13860f	69300e	97020y

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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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