Cremona's table of elliptic curves

13200 = 2⁴ · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 11+	Signs for the Atkin-Lehner involutions
Class	13200g	Isogeny class
Conductor	13200	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	980100000000 = 28 · 34 · 58 · 112	Discriminant
Eigenvalues	2+ 3+ 5+  4 11+ -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-16508,820512]	[a1,a2,a3,a4,a6]
Generators	[28:616:1]	Generators of the group modulo torsion
j	124386546256/245025	j-invariant
L	4.508970254301	L(r)(E,1)/r!
Ω	0.88066544457303	Real period
R	2.5599790942672	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6600q2 52800he2 39600bg2 2640l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13200g2

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

---

Quadratic twists for elliptic curve 13200g2

-4	8	-3	5
6600q2	52800he2	39600bg2	2640l2

---

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