Cremona's table of elliptic curves

1806 = 2 · 3 · 7 · 43

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 43-	Signs for the Atkin-Lehner involutions
Class	1806i	Isogeny class
Conductor	1806	Conductor
∏ cp	51	Product of Tamagawa factors cp
deg	4080	Modular degree for the optimal curve
Δ	17726361698304 = 217 · 35 · 7 · 433	Discriminant
Eigenvalues	2- 3+  1 7+ -4 -3 -1 -1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-10990,-399061]	[a1,a2,a3,a4,a6]
Generators	[-71:207:1]	Generators of the group modulo torsion
j	146797702716641761/17726361698304	j-invariant
L	3.6458154637059	L(r)(E,1)/r!
Ω	0.46996884935767	Real period
R	0.15210918301804	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14448ba1 57792bd1 5418f1 45150bd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1806i1

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	+	-4	-3	-1	-1	-1	-8	-3	-1	9	-	6	-3	-11	0	-5	-10	-2	-6	-4	18	-2

---

Quadratic twists for elliptic curve 1806i1

-4	8	-3	5	-7	-43
14448ba1	57792bd1	5418f1	45150bd1	12642bm1	77658s1

---

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