Cremona's table of elliptic curves

114 = 2 · 3 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 19+	Signs for the Atkin-Lehner involutions
Conductor	114	Conductor
Count	4	Number of curves in isogeny class
Curves	114c1 114c2 114c3 114c4	Curves in isogeny class
deg	60	Modular degree for the optimal curve
Eigenvalues	2- 3+  2  0 -4  2 -6 19+	Hecke eigenvalues for primes less than 20
L	1.3877237318263	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	912k 3648r 342f 2850j	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 114c

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

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Quadratic twists for isogeny class 114c

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
912k	3648r	342f	2850j	5586bb	13794f	19266e	32946v	2166d	60306s	95874f	109554u

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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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