Cremona's table of elliptic curves

3344 = 2⁴ · 11 · 19

Field	Data	Notes
Atkin-Lehner	2+ 11- 19+	Signs for the Atkin-Lehner involutions
Conductor	3344	Conductor
Count	4	Number of curves in isogeny class
Curves	3344a1 3344a2 3344a3 3344a4	Curves in isogeny class
deg	288	Modular degree for the optimal curve
Eigenvalues	2+  0 -2  4 11-  2  2 19+	Hecke eigenvalues for primes less than 20
L	1.7687486925929	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1672c 13376n 30096c 83600o	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3344a

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
+	0	-2	4	-	2	2	+	0	2	0	10	-2	4	-8	2	-8	10	8	0	2	-8	4	-6	2

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Quadratic twists for isogeny class 3344a

-4	8	-3	5	-11	-19
1672c	13376n	30096c	83600o	36784h	63536f

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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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