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	3264d	Isogeny class
Conductor	3264	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-3264 = -1 · 26 · 3 · 17	Discriminant
Eigenvalues	2+ 3+  3 -2 -3 -3 17+  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1,-3]	[a1,a2,a3,a4,a6]
Generators	[4:7:1]	Generators of the group modulo torsion
j	512/51	j-invariant
L	3.2447649437119	L(r)(E,1)/r!
Ω	2.1236337899884	Real period
R	1.527930549518	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3264m1 1632k1 9792ba1 81600dv1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3264d1

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
+	+	3	-2	-3	-3	+	5	3	2	-10	12	-5	-9	-8	-4	-6	10	4	0	-12	-2	0	-18	-10

---

Quadratic twists for elliptic curve 3264d1

-4	8	-3	5	17
3264m1	1632k1	9792ba1	81600dv1	55488bq1

---

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