Cremona's table of elliptic curves

4998 = 2 · 3 · 7² · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 17+	Signs for the Atkin-Lehner involutions
Conductor	4998	Conductor
Count	6	Number of curves in isogeny class
Curves	4998bm1 4998bm2 4998bm3 4998bm4 4998bm5 4998bm6	Curves in isogeny class
deg	184320	Modular degree for the optimal curve
Eigenvalues	2- 3-  2 7-  4  2 17+ -4	Hecke eigenvalues for primes less than 20
L	5.3208029247745	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	39984bv 14994bi 124950ba 714g	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 4998bm

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

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Quadratic twists for isogeny class 4998bm

-4	-3	5	-7	17
39984bv	14994bi	124950ba	714g	84966da

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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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