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	777c	Isogeny class
Conductor	777	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-20979 = -1 · 34 · 7 · 37	Discriminant
Eigenvalues	0 3+  3 7- -1 -1 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-169,-792]	[a1,a2,a3,a4,a6]
j	-536971313152/20979	j-invariant
L	1.3234664070054	L(r)(E,1)/r!
Ω	0.66173320350268	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	12432bo1 49728cn1 2331f1 19425p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 777c1

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	+	3	-	-1	-1	-2	4	4	0	3	+	-2	10	10	9	5	-2	3	15	2	-4	-2	7	-3

---

Quadratic twists for elliptic curve 777c1

-4	8	-3	5	-7	-11	37
12432bo1	49728cn1	2331f1	19425p1	5439e1	94017b1	28749c1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations