Cremona's table of elliptic curves

6600 = 2³ · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	6600q	Isogeny class
Conductor	6600	Conductor
∏ cp	64	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	[328:5400:1]	Generators of the group modulo torsion
j	124386546256/245025	j-invariant
L	4.3749041860466	L(r)(E,1)/r!
Ω	0.42123567164804	Real period
R	2.5964706223301	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	13200g2 52800u2 19800bg2 1320j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6600q2

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 6600q2

-4	8	-3	5	-11
13200g2	52800u2	19800bg2	1320j2	72600ed2

---

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