Cremona's table of elliptic curves

198 = 2 · 3² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 11-	Signs for the Atkin-Lehner involutions
Conductor	198	Conductor
Count	4	Number of curves in isogeny class
Curves	198a1 198a2 198a3 198a4	Curves in isogeny class
deg	32	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2 -4 11- -6 -2  4	Hecke eigenvalues for primes less than 20
L	0.98827578836306	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1584n 6336o 66b 4950bl	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 198a

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

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Quadratic twists for isogeny class 198a

-4	8	-3	5	-7	-11	13	17	-19	-23
1584n	6336o	66b	4950bl	9702x	2178k	33462ci	57222h	71478ct	104742k

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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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