Cremona's table of elliptic curves

6726 = 2 · 3 · 19 · 59

Field	Data	Notes
Atkin-Lehner	2- 3+ 19+ 59+	Signs for the Atkin-Lehner involutions
Conductor	6726	Conductor
Count	2	Number of curves in isogeny class
Curves	6726d1 6726d2	Curves in isogeny class
deg	55296	Modular degree for the optimal curve
Eigenvalues	2- 3+ -4  0 -4 -4  6 19+	Hecke eigenvalues for primes less than 20
L	0.73757162465042	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	53808ba 20178d 127794z	Quadratic twists by: -4 -3 -19

Hecke Eigenvalues for isogeny class 6726d

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
-	+	-4	0	-4	-4	6	+	-4	-8	-2	-8	10	-8	-4	-4	+	-4	0	14	-6	8	12	6	-14

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Quadratic twists for isogeny class 6726d

-4	-3	-19
53808ba	20178d	127794z

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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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