Cremona's table of elliptic curves

3738 = 2 · 3 · 7 · 89

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 89+	Signs for the Atkin-Lehner involutions
Conductor	3738	Conductor
Count	2	Number of curves in isogeny class
Curves	3738d1 3738d2	Curves in isogeny class
deg	576	Modular degree for the optimal curve
Eigenvalues	2- 3-  0 7-  4  6 -6  4	Hecke eigenvalues for primes less than 20
L	4.5750574294689	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	29904a 119616c 11214f 93450b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3738d

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	-	4	6	-6	4	0	-4	8	-8	-6	10	8	-10	0	-6	16	0	-6	-8	-4	+	-10

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Quadratic twists for isogeny class 3738d

-4	8	-3	5	-7
29904a	119616c	11214f	93450b	26166q

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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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