Cremona's table of elliptic curves

1848 = 2³ · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	1848l	Isogeny class
Conductor	1848	Conductor
∏ cp	42	Product of Tamagawa factors cp
deg	672	Modular degree for the optimal curve
Δ	-132024816 = -1 · 24 · 37 · 73 · 11	Discriminant
Eigenvalues	2- 3- -3 7- 11- -3  4 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-12,549]	[a1,a2,a3,a4,a6]
Generators	[-6:21:1]	Generators of the group modulo torsion
j	-12967168/8251551	j-invariant
L	3.0425146497042	L(r)(E,1)/r!
Ω	1.4958860558944	Real period
R	0.048426699819489	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	3696a1 14784p1 5544h1 46200d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1848l1

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
-	-	-3	-	-	-3	4	-7	-2	-3	0	-11	8	-2	-9	10	-5	-10	-3	8	-9	-4	-4	-14	-2

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Quadratic twists for elliptic curve 1848l1

-4	8	-3	5	-7	-11
3696a1	14784p1	5544h1	46200d1	12936u1	20328e1

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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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