Cremona's table of elliptic curves

7755 = 3 · 5 · 11 · 47

Field	Data	Notes
Atkin-Lehner	3- 5- 11- 47+	Signs for the Atkin-Lehner involutions
Conductor	7755	Conductor
Count	6	Number of curves in isogeny class
Curves	7755h1 7755h2 7755h3 7755h4 7755h5 7755h6	Curves in isogeny class
deg	16384	Modular degree for the optimal curve
Eigenvalues	-1 3- 5-  0 11-  6  2  4	Hecke eigenvalues for primes less than 20
L	2.3203957330712	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	124080bm 23265n 38775d 85305z	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for isogeny class 7755h

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	-	-	0	-	6	2	4	8	6	0	6	2	12	+	-10	12	-2	-12	8	-14	8	-4	-6	2

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Quadratic twists for isogeny class 7755h

-4	-3	5	-11
124080bm	23265n	38775d	85305z

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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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