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	2702395208448 = 28 · 37 · 136	Discriminant
Eigenvalues	2- 3-  0 -2  0 13-  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-6735,-197494]	[a1,a2,a3,a4,a6]
j	181037698000/14480427	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	468d4 7488bp4 624g4 46800de4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1872p4

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 1872p4

-4	8	-3	5	-7	13
468d4	7488bp4	624g4	46800de4	91728ds4	24336bh4

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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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