Cremona's table of elliptic curves

9150 = 2 · 3 · 5² · 61

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 61-	Signs for the Atkin-Lehner involutions
Class	9150g	Isogeny class
Conductor	9150	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	36960	Modular degree for the optimal curve
Δ	-127080306432000 = -1 · 211 · 37 · 53 · 613	Discriminant
Eigenvalues	2+ 3+ 5- -1 -4  3 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-3905,-552075]	[a1,a2,a3,a4,a6]
Generators	[105:405:1]	Generators of the group modulo torsion
j	-52704849262157/1016642451456	j-invariant
L	2.3637735269144	L(r)(E,1)/r!
Ω	0.25272691492412	Real period
R	1.5588456599647	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	73200db1 27450cg1 9150ba1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 9150g1

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	-4	-6	8	0	4	-4	2	2	7	9	-8	-	10	15	-10	-12	8	11	-8

---

Quadratic twists for elliptic curve 9150g1

-4	-3	5
73200db1	27450cg1	9150ba1

---

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