Cremona's table of elliptic curves

414 = 2 · 3² · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 23-	Signs for the Atkin-Lehner involutions
Conductor	414	Conductor
Count	4	Number of curves in isogeny class
Curves	414a1 414a2 414a3 414a4	Curves in isogeny class
deg	128	Modular degree for the optimal curve
Eigenvalues	2- 3-  0  2  0  2  0  2	Hecke eigenvalues for primes less than 20
L	2.2510426674949	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	3312n 13248o 138b 10350l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 414a

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

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Quadratic twists for isogeny class 414a

-4	8	-3	5	-7	-11	13	17	-23
3312n	13248o	138b	10350l	20286cm	50094y	69966n	119646br	9522h

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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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