Cremona's table of elliptic curves

1849 = 43²

Field	Data	Notes
Atkin-Lehner	43-	Signs for the Atkin-Lehner involutions
Class	1849c	Isogeny class
Conductor	1849	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	9030	Modular degree for the optimal curve
Δ	21611482313284249 = 4310	Discriminant
Eigenvalues	-1 -1  1 -3  0 -5  3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-71225,1841958]	[a1,a2,a3,a4,a6]
j	1849	j-invariant
L	0.3336119298651	L(r)(E,1)/r!
Ω	0.3336119298651	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	29584k1 118336l1 16641i1 46225f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1849c1

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
-1	-1	1	-3	0	-5	3	-1	-7	-3	5	9	-10	-	-8	-5	12	13	-3	1	-11	-5	9	1	-2

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Quadratic twists for elliptic curve 1849c1

-4	8	-3	5	-7	-43
29584k1	118336l1	16641i1	46225f1	90601d1	1849b1

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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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