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	3	Number of curves in isogeny class
Curves	1872s1 1872s2 1872s3	Curves in isogeny class
deg	480	Modular degree for the optimal curve
Eigenvalues	2- 3-  3  1  6 13-  3 -2	Hecke eigenvalues for primes less than 20
L	2.6790148656255	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	234e 7488bv 208a 46800db	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1872s

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
-	-	3	1	6	-	3	-2	0	-6	4	-7	0	1	3	0	-6	8	-14	-3	2	-8	12	6	-10

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Quadratic twists for isogeny class 1872s

-4	8	-3	5	-7	13
234e	7488bv	208a	46800db	91728et	24336by

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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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