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	198b1 198b2 198b3 198b4	Curves in isogeny class
deg	32	Modular degree for the optimal curve
Eigenvalues	2- 3-  0  2 11- -4  6 -4	Hecke eigenvalues for primes less than 20
L	1.8053975905613	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1584l 6336k 66a 4950o	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 198b

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

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Quadratic twists for isogeny class 198b

-4	8	-3	5	-7	-11	13	17	-19	-23
1584l	6336k	66a	4950o	9702ca	2178c	33462q	57222bh	71478ba	104742bl

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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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