Cremona's table of elliptic curves

44 = 2² · 11

Field	Data	Notes
Atkin-Lehner	2- 11+	Signs for the Atkin-Lehner involutions
Conductor	44	Conductor
Count	2	Number of curves in isogeny class
Curves	44a1 44a2	Curves in isogeny class
deg	2	Modular degree for the optimal curve
Eigenvalues	2-  1 -3  2 11+ -4  6  8	Hecke eigenvalues for primes less than 20
L	0.80464628757465	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	176c 704d 396c 1100a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 44a

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
-	1	-3	2	+	-4	6	8	-3	0	5	-1	0	-10	0	-6	3	-4	-1	15	-4	2	6	-9	-7

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Quadratic twists for isogeny class 44a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53
176c	704d	396c	1100a	2156a	484a	7436c	12716d	15884f	23276d	37004b	42284e	60236b	73964d	81356b	97196f	123596a

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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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