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	9030i	Isogeny class
Conductor	9030	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	23297400 = 23 · 32 · 52 · 7 · 432	Discriminant
Eigenvalues	2+ 3- 5+ 7+ -4  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2684,53282]	[a1,a2,a3,a4,a6]
Generators	[-24:334:1]	Generators of the group modulo torsion
j	2137167818179129/23297400	j-invariant
L	3.3772330345745	L(r)(E,1)/r!
Ω	1.9355766287793	Real period
R	0.8724100571271	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	72240bp2 27090bp2 45150cj2 63210q2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9030i2

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
+	-	+	+	-4	2	0	-2	6	4	0	-10	2	-	0	4	-8	-2	-8	6	-14	4	14	16	8

---

Quadratic twists for elliptic curve 9030i2

-4	-3	5	-7
72240bp2	27090bp2	45150cj2	63210q2

---

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