Cremona's table of elliptic curves

1854 = 2 · 3² · 103

Field	Data	Notes
Atkin-Lehner	2- 3- 103-	Signs for the Atkin-Lehner involutions
Class	1854h	Isogeny class
Conductor	1854	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-4054698 = -1 · 2 · 39 · 103	Discriminant
Eigenvalues	2- 3-  0 -4  3  2  6 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-185,-925]	[a1,a2,a3,a4,a6]
j	-955671625/5562	j-invariant
L	2.5892207270453	L(r)(E,1)/r!
Ω	0.64730518176133	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	14832f1 59328p1 618c1 46350n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1854h1

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	-4	3	2	6	-1	9	-9	-1	5	0	2	6	12	12	8	14	12	-16	2	-12	-3	-1

---

Quadratic twists for elliptic curve 1854h1

-4	8	-3	5	-7
14832f1	59328p1	618c1	46350n1	90846cz1

---

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