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	4	Number of curves in isogeny class
Curves	153c1 153c2 153c3 153c4	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	1 3-  2  4  0 -2 17+ -4	Hecke eigenvalues for primes less than 20
L	1.5852532189536	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2448o 9792m 17a 3825i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 153c

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

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Quadratic twists for isogeny class 153c

-4	8	-3	5	-7	-11	13	17	-19	-23	29
2448o	9792m	17a	3825i	7497o	18513q	25857i	2601j	55233g	80937s	128673p

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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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