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	9360i	Isogeny class
Conductor	9360	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	-36846576000000 = -1 · 210 · 311 · 56 · 13	Discriminant
Eigenvalues	2+ 3- 5+ -2  4 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,6477,-212222]	[a1,a2,a3,a4,a6]
j	40254822716/49359375	j-invariant
L	1.3939651431287	L(r)(E,1)/r!
Ω	0.34849128578217	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4680n1 37440fv1 3120i1 46800bf1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360i1

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	4	+	0	-2	-2	-4	-4	-2	6	4	8	2	4	-2	-8	8	-4	-8	12	-6	4

---

Quadratic twists for elliptic curve 9360i1

-4	8	-3	5	13
4680n1	37440fv1	3120i1	46800bf1	121680bk1

---

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