Cremona's table of elliptic curves

143 = 11 · 13

Field	Data	Notes
Atkin-Lehner	11+ 13+	Signs for the Atkin-Lehner involutions
Conductor	143	Conductor
Count	1	Number of curves in isogeny class
Curves	143a1	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	0 -1 -1 -2 11+ 13+ -4  2	Hecke eigenvalues for primes less than 20
L	0.94569641120026	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2288i 9152l 1287d 3575d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 143a

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	-1	-1	-2	+	+	-4	2	7	-2	-3	-11	10	-4	-4	2	-1	-2	-1	-9	-16	8	0	-7	-13

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Quadratic twists for isogeny class 143a

-4	8	-3	5	-7	-11	13	17	-19	-23	29
2288i	9152l	1287d	3575d	7007a	1573b	1859b	41327j	51623f	75647b	120263d

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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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