Cremona's table of elliptic curves

3876 = 2² · 3 · 17 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 17+ 19-	Signs for the Atkin-Lehner involutions
Class	3876d	Isogeny class
Conductor	3876	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	336	Modular degree for the optimal curve
Δ	-294576 = -1 · 24 · 3 · 17 · 192	Discriminant
Eigenvalues	2- 3+ -2  2  0 -2 17+ 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,11,-26]	[a1,a2,a3,a4,a6]
Generators	[3:5:1]	Generators of the group modulo torsion
j	8388608/18411	j-invariant
L	2.829158083849	L(r)(E,1)/r!
Ω	1.5962813452247	Real period
R	1.1815620065191	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15504t1 62016u1 11628h1 96900bg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3876d1

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	0	-2	+	-	0	6	-4	4	10	-8	2	-4	4	-14	-4	8	6	-12	6	-8	4

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Quadratic twists for elliptic curve 3876d1

-4	8	-3	5	17	-19
15504t1	62016u1	11628h1	96900bg1	65892i1	73644m1

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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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