Cremona's table of elliptic curves

1776 = 2⁴ · 3 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3+ 37-	Signs for the Atkin-Lehner involutions
Class	1776a	Isogeny class
Conductor	1776	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	340992 = 210 · 32 · 37	Discriminant
Eigenvalues	2+ 3+ -2  0  4 -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-7104,232848]	[a1,a2,a3,a4,a6]
j	38725206845188/333	j-invariant
L	1.054380906205	L(r)(E,1)/r!
Ω	2.1087618124101	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	888b3 7104v3 5328f3 44400m4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1776a3

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	0	4	-2	-6	0	4	6	-4	-	-6	8	8	6	0	14	-4	16	-6	4	4	18	2

---

Quadratic twists for elliptic curve 1776a3

-4	8	-3	5	-7	37
888b3	7104v3	5328f3	44400m4	87024bj4	65712a4

---

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