Cremona's table of elliptic curves

3850 = 2 · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 11-	Signs for the Atkin-Lehner involutions
Class	3850bb	Isogeny class
Conductor	3850	Conductor
∏ cp	36	Product of Tamagawa factors cp
Δ	-761270796055000 = -1 · 23 · 54 · 712 · 11	Discriminant
Eigenvalues	2- -2 5- 7- 11- -1  0 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,9887,-1271583]	[a1,a2,a3,a4,a6]
Generators	[108:975:1]	Generators of the group modulo torsion
j	171015136702175/1218033273688	j-invariant
L	3.8859462242512	L(r)(E,1)/r!
Ω	0.25151777328505	Real period
R	0.42916629415015	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	30800ce2 123200dd2 34650bw2 3850e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3850bb2

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	0	-1	-9	-3	5	-4	0	-1	0	-6	0	2	2	-9	-4	-4	-9	15	-1

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Quadratic twists for elliptic curve 3850bb2

-4	8	-3	5	-7	-11
30800ce2	123200dd2	34650bw2	3850e2	26950di2	42350bo2

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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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