Cremona's table of elliptic curves

13872 = 2⁴ · 3 · 17²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 17+	Signs for the Atkin-Lehner involutions
Conductor	13872	Conductor
Count	6	Number of curves in isogeny class
Curves	13872b1 13872b2 13872b3 13872b4 13872b5 13872b6	Curves in isogeny class
deg	5120	Modular degree for the optimal curve
Eigenvalues	2+ 3+  2  0  4 -2 17+  4	Hecke eigenvalues for primes less than 20
L	4.8810809957928	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6936m 55488du 41616x 48a	Quadratic twists by: -4 8 -3 17

Hecke Eigenvalues for isogeny class 13872b

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

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Quadratic twists for isogeny class 13872b

-4	8	-3	17
6936m	55488du	41616x	48a

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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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