Cremona's table of elliptic curves

242 = 2 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 11-	Signs for the Atkin-Lehner involutions
Conductor	242	Conductor
Count	2	Number of curves in isogeny class
Curves	242b1 242b2	Curves in isogeny class
deg	176	Modular degree for the optimal curve
Eigenvalues	2+ -2 -3  2 11-  5  3  2	Hecke eigenvalues for primes less than 20
L	0.53498991535226	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1936j 7744j 2178l 6050be	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 242b

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	-3	2	-	5	3	2	6	-3	2	-7	3	8	6	-3	0	-10	-10	12	14	2	18	-9	11

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Quadratic twists for isogeny class 242b

-4	8	-3	5	-7	-11	13	17	-19	-23
1936j	7744j	2178l	6050be	11858q	242a	40898bv	69938g	87362bp	128018l

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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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