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	13200t	Isogeny class
Conductor	13200	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	947027862000000000 = 210 · 316 · 59 · 11	Discriminant
Eigenvalues	2+ 3- 5+ -4 11+  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-788008,264877988]	[a1,a2,a3,a4,a6]
j	3382175663521924/59189241375	j-invariant
L	2.2343967868576	L(r)(E,1)/r!
Ω	0.2792995983572	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	6600g3 52800ff4 39600bh4 2640e3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13200t3

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

---

Quadratic twists for elliptic curve 13200t3

-4	8	-3	5
6600g3	52800ff4	39600bh4	2640e3

---

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