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	6	Number of curves in isogeny class
Curves	1344g1 1344g2 1344g3 1344g4 1344g5 1344g6	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2 7+  4 -6  2  4	Hecke eigenvalues for primes less than 20
L	2.4575124648535	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1344m 42a 4032i 33600ba	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1344g

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

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Quadratic twists for isogeny class 1344g

-4	8	-3	5	-7
1344m	42a	4032i	33600ba	9408p

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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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