Cremona's table of elliptic curves

6336 = 2⁶ · 3² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 11-	Signs for the Atkin-Lehner involutions
Class	6336ba	Isogeny class
Conductor	6336	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	-73903104 = -1 · 210 · 38 · 11	Discriminant
Eigenvalues	2+ 3-  2 -2 11-  2 -4  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,96,200]	[a1,a2,a3,a4,a6]
Generators	[2:20:1]	Generators of the group modulo torsion
j	131072/99	j-invariant
L	4.4300377837665	L(r)(E,1)/r!
Ω	1.2411726294311	Real period
R	1.7846179003307	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6336ca1 396b1 2112c1 69696ci1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 6336ba1

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	-2	-	2	-4	6	0	-8	-8	-10	-8	2	8	-2	12	-10	-12	-8	6	-2	16	14	-2

---

Quadratic twists for elliptic curve 6336ba1

-4	8	-3	-11
6336ca1	396b1	2112c1	69696ci1

---

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