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	114a1 114a2 114a3 114a4	Curves in isogeny class
deg	12	Modular degree for the optimal curve
Eigenvalues	2- 3-  0 -4  0 -4  6 19-	Hecke eigenvalues for primes less than 20
L	1.5744353565575	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	912e 3648b 342c 2850e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 114a

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

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Quadratic twists for isogeny class 114a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
912e	3648b	342c	2850e	5586u	13794m	19266g	32946r	2166b	60306v	95874a	109554q

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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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