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	1	Number of curves in isogeny class
Curves	153a1	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	-2 3+ -1 -2 -3 -5 17+ -1	Hecke eigenvalues for primes less than 20
L	0.7068417367258	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2448i 9792a 153d 3825d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 153a

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
-2	+	-1	-2	-3	-5	+	-1	-7	6	4	10	9	1	-12	-12	6	2	4	-8	0	-6	4	2	8

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Quadratic twists for isogeny class 153a

-4	8	-3	5	-7	-11	13	17	-19	-23	29
2448i	9792a	153d	3825d	7497b	18513f	25857a	2601d	55233c	80937d	128673d

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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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