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	414c1 414c2 414c3 414c4	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2  0  0 -2 -2 -8	Hecke eigenvalues for primes less than 20
L	1.3266055580581	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	3312p 13248r 138c 10350bg	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 414c

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	0	-2	-2	-8	-	2	-8	2	-10	8	-8	-2	4	2	8	0	-6	8	16	-18	10

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Quadratic twists for isogeny class 414c

-4	8	-3	5	-7	-11	13	17	-23
3312p	13248r	138c	10350bg	20286bd	50094cg	69966bf	119646p	9522e

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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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