Cremona's table of elliptic curves

6877 = 13 · 23²

Field	Data	Notes
Atkin-Lehner	13+ 23-	Signs for the Atkin-Lehner involutions
Class	6877a	Isogeny class
Conductor	6877	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-26730899 = -1 · 133 · 233	Discriminant
Eigenvalues	0  1  3  0 -3 13+  6 -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,31,-230]	[a1,a2,a3,a4,a6]
j	262144/2197	j-invariant
L	2.0936589850461	L(r)(E,1)/r!
Ω	1.0468294925231	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	110032k1 61893d1 89401b1 6877b1	Quadratic twists by: -4 -3 13 -23

Hecke Eigenvalues for elliptic curve 6877a1

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
0	1	3	0	-3	+	6	-3	-	-6	4	6	0	6	6	6	-6	12	-3	12	-2	-6	9	6	-3

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Quadratic twists for elliptic curve 6877a1

-4	-3	13	-23
110032k1	61893d1	89401b1	6877b1

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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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