Cremona's table of elliptic curves

1573 = 11² · 13

Field	Data	Notes
Atkin-Lehner	11- 13-	Signs for the Atkin-Lehner involutions
Conductor	1573	Conductor
Count	1	Number of curves in isogeny class
Curves	1573c1	Curves in isogeny class
deg	144	Modular degree for the optimal curve
Eigenvalues	-1 -1 -2  2 11- 13- -7  6	Hecke eigenvalues for primes less than 20
L	1.394288244377	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	25168bj 100672j 14157t 39325b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1573c

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	-1	-2	2	-	-	-7	6	-1	3	10	6	2	3	2	-9	8	-15	2	-6	-4	-11	0	-18	-10

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Quadratic twists for isogeny class 1573c

-4	8	-3	5	-7	-11	13
25168bj	100672j	14157t	39325b	77077p	1573a	20449c

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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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