Cremona's table of elliptic curves

1850 = 2 · 5² · 37

Field	Data	Notes
Atkin-Lehner	2- 5+ 37-	Signs for the Atkin-Lehner involutions
Class	1850l	Isogeny class
Conductor	1850	Conductor
∏ cp	44	Product of Tamagawa factors cp
deg	1056	Modular degree for the optimal curve
Δ	-5920000000 = -1 · 211 · 57 · 37	Discriminant
Eigenvalues	2- -2 5+ -1  3  0 -3 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,312,-3008]	[a1,a2,a3,a4,a6]
Generators	[12:44:1]	Generators of the group modulo torsion
j	214921799/378880	j-invariant
L	3.1137065349359	L(r)(E,1)/r!
Ω	0.70656516544011	Real period
R	0.10015503321353	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	14800x1 59200m1 16650v1 370b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1850l1

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	+	-1	3	0	-3	-6	-2	-3	3	-	3	1	-4	-13	0	-15	0	-2	0	-8	4	-18	7

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Quadratic twists for elliptic curve 1850l1

-4	8	-3	5	-7	37
14800x1	59200m1	16650v1	370b1	90650cq1	68450j1

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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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