Cremona's table of elliptic curves

1854 = 2 · 3² · 103

Field	Data	Notes
Atkin-Lehner	2- 3- 103+	Signs for the Atkin-Lehner involutions
Class	1854g	Isogeny class
Conductor	1854	Conductor
∏ cp	38	Product of Tamagawa factors cp
deg	3648	Modular degree for the optimal curve
Δ	-118101639168 = -1 · 219 · 37 · 103	Discriminant
Eigenvalues	2- 3- -2 -2  3 -4  0  1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-25376,1562307]	[a1,a2,a3,a4,a6]
Generators	[125:-639:1]	Generators of the group modulo torsion
j	-2478846508717753/162004992	j-invariant
L	3.7345220428639	L(r)(E,1)/r!
Ω	0.99595660634521	Real period
R	0.098675881297158	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14832p1 59328h1 618b1 46350s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1854g1

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	-2	3	-4	0	1	3	-9	-5	-9	2	-6	4	-6	2	-12	-12	-6	14	-6	12	7	7

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Quadratic twists for elliptic curve 1854g1

-4	8	-3	5	-7
14832p1	59328h1	618b1	46350s1	90846dn1

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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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