Cremona's table of elliptic curves

1872 = 2⁴ · 3² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 13-	Signs for the Atkin-Lehner involutions
Class	1872q	Isogeny class
Conductor	1872	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	4541681664 = 212 · 38 · 132	Discriminant
Eigenvalues	2- 3- -2  4  4 13- -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-651,-5510]	[a1,a2,a3,a4,a6]
j	10218313/1521	j-invariant
L	1.9091538124883	L(r)(E,1)/r!
Ω	0.95457690624414	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	117a2 7488bs2 624h2 46800dm2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1872q2

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

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Quadratic twists for elliptic curve 1872q2

-4	8	-3	5	-7	13
117a2	7488bs2	624h2	46800dm2	91728ef2	24336bt2

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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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