Cremona's table of elliptic curves

4851 = 3² · 7² · 11

Field	Data	Notes
Atkin-Lehner	3- 7- 11-	Signs for the Atkin-Lehner involutions
Conductor	4851	Conductor
Count	6	Number of curves in isogeny class
Curves	4851o1 4851o2 4851o3 4851o4 4851o5 4851o6	Curves in isogeny class
deg	7680	Modular degree for the optimal curve
Eigenvalues	1 3- -2 7- 11- -6  2 -4	Hecke eigenvalues for primes less than 20
L	1.0165267757279	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	77616fk 1617g 121275eq 693d	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 4851o

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

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Quadratic twists for isogeny class 4851o

-4	-3	5	-7	-11
77616fk	1617g	121275eq	693d	53361bp

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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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