Cremona's table of elliptic curves

3264 = 2⁶ · 3 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 17-	Signs for the Atkin-Lehner involutions
Class	3264be	Isogeny class
Conductor	3264	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1024	Modular degree for the optimal curve
Δ	2506752 = 214 · 32 · 17	Discriminant
Eigenvalues	2- 3- -2  4  4 -6 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-209,-1233]	[a1,a2,a3,a4,a6]
j	61918288/153	j-invariant
L	2.5106399924436	L(r)(E,1)/r!
Ω	1.2553199962218	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	3264i1 816b1 9792bp1 81600fx1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3264be1

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	4	-6	-	4	4	6	4	-10	-6	4	8	-6	-4	14	-12	12	10	4	4	-6	-6

---

Quadratic twists for elliptic curve 3264be1

-4	8	-3	5	17
3264i1	816b1	9792bp1	81600fx1	55488co1

---

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