Cremona's table of elliptic curves

9555 = 3 · 5 · 7² · 13

Field	Data	Notes
Atkin-Lehner	3+ 5+ 7- 13+	Signs for the Atkin-Lehner involutions
Conductor	9555	Conductor
Count	8	Number of curves in isogeny class
Curves	9555e1 9555e2 9555e3 9555e4 9555e5 9555e6 9555e7 9555e8	Curves in isogeny class
deg	9216	Modular degree for the optimal curve
Eigenvalues	-1 3+ 5+ 7-  4 13+ -2  4	Hecke eigenvalues for primes less than 20
L	1.1143271944592	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	28665bq 47775cp 195a 124215bd	Quadratic twists by: -3 5 -7 13

Hecke Eigenvalues for isogeny class 9555e

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	+	+	-	4	+	-2	4	8	-2	8	6	6	-4	8	6	12	2	-4	0	6	16	4	-10	-18

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Quadratic twists for isogeny class 9555e

-3	5	-7	13
28665bq	47775cp	195a	124215bd

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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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