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	198c1 198c2 198c3 198c4	Curves in isogeny class
deg	32	Modular degree for the optimal curve
Eigenvalues	2- 3+  0  2 11+  2 -6  2	Hecke eigenvalues for primes less than 20
L	1.8049318292048	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1584j 6336g 198d 4950b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 198c

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

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Quadratic twists for isogeny class 198c

-4	8	-3	5	-7	-11	13	17	-19	-23
1584j	6336g	198d	4950b	9702be	2178a	33462k	57222bf	71478c	104742bg

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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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