Cremona's table of elliptic curves

1554 = 2 · 3 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 37+	Signs for the Atkin-Lehner involutions
Class	1554i	Isogeny class
Conductor	1554	Conductor
∏ cp	240	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	-848195776512 = -1 · 212 · 32 · 75 · 372	Discriminant
Eigenvalues	2- 3+  0 7- -4 -4 -8 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,2362,-2365]	[a1,a2,a3,a4,a6]
Generators	[33:319:1]	Generators of the group modulo torsion
j	1457309849609375/848195776512	j-invariant
L	3.4366831758091	L(r)(E,1)/r!
Ω	0.52639113343463	Real period
R	0.10881272364225	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12432bn1 49728ck1 4662e1 38850bh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1554i1

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	-4	-8	-2	4	6	-6	+	10	-8	4	-6	-10	-8	12	0	2	-16	4	-8	0

---

Quadratic twists for elliptic curve 1554i1

-4	8	-3	5	-7	37
12432bn1	49728ck1	4662e1	38850bh1	10878bp1	57498e1

---

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