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	1872i1 1872i2 1872i3 1872i4	Curves in isogeny class
deg	256	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2  0  0 13- -2  4	Hecke eigenvalues for primes less than 20
L	2.7085124774504	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	936e 7488br 624c 46800k	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1872i

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	0	-	-2	4	0	-6	0	-2	-6	12	-4	-6	-8	-2	-4	-12	-14	0	8	18	-6

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Quadratic twists for isogeny class 1872i

-4	8	-3	5	-7	13
936e	7488br	624c	46800k	91728w	24336f

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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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