Cremona's table of elliptic curves

1872 = 2⁴ · 3² · 13

Field	Data	Notes
Atkin-Lehner	2+ 3+ 13+	Signs for the Atkin-Lehner involutions
Conductor	1872	Conductor
Count	2	Number of curves in isogeny class
Curves	1872b1 1872b2	Curves in isogeny class
deg	128	Modular degree for the optimal curve
Eigenvalues	2+ 3+ -2 -2  4 13+  0  2	Hecke eigenvalues for primes less than 20
L	2.6380281509813	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	936a 7488bh 1872a 46800e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1872b

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

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Quadratic twists for isogeny class 1872b

-4	8	-3	5	-7	13
936a	7488bh	1872a	46800e	91728h	24336a

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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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