Cremona's table of elliptic curves

9030 = 2 · 3 · 5 · 7 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 43-	Signs for the Atkin-Lehner involutions
Class	9030ba	Isogeny class
Conductor	9030	Conductor
∏ cp	720	Product of Tamagawa factors cp
deg	34560	Modular degree for the optimal curve
Δ	32768064000000 = 212 · 35 · 56 · 72 · 43	Discriminant
Eigenvalues	2- 3- 5- 7+ -6 -2  4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-8000,0]	[a1,a2,a3,a4,a6]
Generators	[-50:550:1]	Generators of the group modulo torsion
j	56623546369152001/32768064000000	j-invariant
L	7.5698964449755	L(r)(E,1)/r!
Ω	0.55467457802442	Real period
R	0.075819195463492	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	72240ch1 27090l1 45150o1 63210bo1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9030ba1

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
-	-	-	+	-6	-2	4	-6	4	2	-4	-4	-10	-	-4	8	-14	10	4	-8	0	-8	-4	-10	10

---

Quadratic twists for elliptic curve 9030ba1

-4	-3	5	-7
72240ch1	27090l1	45150o1	63210bo1

---

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