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	2	Number of curves in isogeny class
Curves	114b1 114b2	Curves in isogeny class
deg	20	Modular degree for the optimal curve
Eigenvalues	2+ 3+  0  4  4  0 -2 19-	Hecke eigenvalues for primes less than 20
L	0.76357205651559	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	912h 3648j 342b 2850ba	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 114b

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	4	0	-2	-	-2	-6	6	-8	10	-12	10	2	4	-10	0	-16	-2	10	-16	-2	-10

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Quadratic twists for isogeny class 114b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
912h	3648j	342b	2850ba	5586r	13794y	19266p	32946k	2166i	60306b	95874q	109554o

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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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