Cremona's table of elliptic curves

1344 = 2⁶ · 3 · 7

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+	Signs for the Atkin-Lehner involutions
Conductor	1344	Conductor
Count	4	Number of curves in isogeny class
Curves	1344k1 1344k2 1344k3 1344k4	Curves in isogeny class
deg	128	Modular degree for the optimal curve
Eigenvalues	2- 3+  2 7+  4  6 -2 -4	Hecke eigenvalues for primes less than 20
L	1.744581748021	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1344s 672f 4032be 33600gv	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1344k

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

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Quadratic twists for isogeny class 1344k

-4	8	-3	5	-7
1344s	672f	4032be	33600gv	9408da

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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