Cremona's table of elliptic curves

777 = 3 · 7 · 37

Field	Data	Notes
Atkin-Lehner	3+ 7- 37-	Signs for the Atkin-Lehner involutions
Class	777d	Isogeny class
Conductor	777	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	603729 = 32 · 72 · 372	Discriminant
Eigenvalues	-1 3+ -2 7-  0  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-259,1496]	[a1,a2,a3,a4,a6]
Generators	[2:30:1]	Generators of the group modulo torsion
j	1921886786737/603729	j-invariant
L	1.2399116896979	L(r)(E,1)/r!
Ω	2.8360196315228	Real period
R	0.87440275512631	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	12432bs2 49728cf2 2331h2 19425n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 777d2

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
-1	+	-2	-	0	2	-6	4	8	-2	0	-	-10	-8	-8	-2	-12	2	-4	-4	2	4	4	-6	6

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Quadratic twists for elliptic curve 777d2

-4	8	-3	5	-7	-11	37
12432bs2	49728cf2	2331h2	19425n2	5439h2	94017f2	28749d2

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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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