Cremona's table of elliptic curves

153 = 3² · 17

Field	Data	Notes
Atkin-Lehner	3- 17-	Signs for the Atkin-Lehner involutions
Conductor	153	Conductor
Count	2	Number of curves in isogeny class
Curves	153b1 153b2	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	0 3- -3 -4  3 -1 17- -1	Hecke eigenvalues for primes less than 20
L	1.0181559606614	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2448s 9792y 51a 3825e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 153b

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	-	-3	-4	3	-1	-	-1	-9	-6	2	-4	3	-7	6	6	-6	8	-4	-12	2	-10	6	0	-16

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Quadratic twists for isogeny class 153b

-4	8	-3	5	-7	-11	13	17	-19	-23	29
2448s	9792y	51a	3825e	7497f	18513n	25857q	2601g	55233p	80937i	128673e

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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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