Cremona's table of elliptic curves

9152 = 2⁶ · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 11- 13+	Signs for the Atkin-Lehner involutions
Class	9152bb	Isogeny class
Conductor	9152	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-74973184 = -1 · 219 · 11 · 13	Discriminant
Eigenvalues	2-  2 -1  3 11- 13+ -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1,417]	[a1,a2,a3,a4,a6]
Generators	[21:96:1]	Generators of the group modulo torsion
j	-1/286	j-invariant
L	6.1834938187031	L(r)(E,1)/r!
Ω	1.5430143237602	Real period
R	1.001852951636	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	9152d1 2288g1 82368dk1 100672ed1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 9152bb1

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
-	2	-1	3	-	+	-6	0	-1	3	-10	-2	7	-1	4	-6	-5	11	-1	-16	-7	-4	4	12	-16

---

Quadratic twists for elliptic curve 9152bb1

-4	8	-3	-11	13
9152d1	2288g1	82368dk1	100672ed1	118976ce1

---

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