Cremona's table of elliptic curves

9360 = 2⁴ · 3² · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13-	Signs for the Atkin-Lehner involutions
Class	9360bm	Isogeny class
Conductor	9360	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	4317436131840000 = 212 · 310 · 54 · 134	Discriminant
Eigenvalues	2- 3- 5+  0  4 13- -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-74883,-7225918]	[a1,a2,a3,a4,a6]
j	15551989015681/1445900625	j-invariant
L	2.3225926882228	L(r)(E,1)/r!
Ω	0.29032408602785	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	585f3 37440ex4 3120r3 46800cw4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360bm3

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
-	-	+	0	4	-	-2	4	8	2	8	6	6	4	-8	-6	-12	-2	4	0	-6	-16	-4	-10	18

---

Quadratic twists for elliptic curve 9360bm3

-4	8	-3	5	13
585f3	37440ex4	3120r3	46800cw4	121680eo4

---

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