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	1872p	Isogeny class
Conductor	1872	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	230632272 = 24 · 38 · 133	Discriminant
Eigenvalues	2- 3-  0 -2  0 13-  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-6600,-206377]	[a1,a2,a3,a4,a6]
j	2725888000000/19773	j-invariant
L	1.5890406766662	L(r)(E,1)/r!
Ω	0.52968022555538	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	468d3 7488bp3 624g3 46800de3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1872p3

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 elliptic curve 1872p3

-4	8	-3	5	-7	13
468d3	7488bp3	624g3	46800de3	91728ds3	24336bh3

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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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