Cremona's table of elliptic curves

1344 = 2⁶ · 3 · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 7+	Signs for the Atkin-Lehner involutions
Class	1344q	Isogeny class
Conductor	1344	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	708083712 = 215 · 32 · 74	Discriminant
Eigenvalues	2- 3- -2 7+  0 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-449,-3585]	[a1,a2,a3,a4,a6]
Generators	[-11:12:1]	Generators of the group modulo torsion
j	306182024/21609	j-invariant
L	2.7960735747865	L(r)(E,1)/r!
Ω	1.0415607119696	Real period
R	1.3422518450696	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	1344n3 672c2 4032bc3 33600ew4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1344q3

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

---

Quadratic twists for elliptic curve 1344q3

-4	8	-3	5	-7
1344n3	672c2	4032bc3	33600ew4	9408bz3

---

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