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	4	Number of curves in isogeny class
Curves	1872p1 1872p2 1872p3 1872p4	Curves in isogeny class
deg	384	Modular degree for the optimal curve
Eigenvalues	2- 3-  0 -2  0 13-  6 -2	Hecke eigenvalues for primes less than 20
L	1.5890406766662	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	468d 7488bp 624g 46800de	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1872p

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

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Quadratic twists for isogeny class 1872p

-4	8	-3	5	-7	13
468d	7488bp	624g	46800de	91728ds	24336bh

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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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