Cremona's table of elliptic curves

345 = 3 · 5 · 23

Field	Data	Notes
Atkin-Lehner	3- 5+ 23+	Signs for the Atkin-Lehner involutions
Conductor	345	Conductor
Count	4	Number of curves in isogeny class
Curves	345c1 345c2 345c3 345c4	Curves in isogeny class
deg	300	Modular degree for the optimal curve
Eigenvalues	1 3- 5+  4  4  6 -2 -4	Hecke eigenvalues for primes less than 20
L	2.1067250612821	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5520q 22080r 1035g 1725g	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 345c

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
1	-	+	4	4	6	-2	-4	+	-10	-8	2	2	-8	0	-6	0	6	8	-4	10	16	-12	-10	-10

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Quadratic twists for isogeny class 345c

-4	8	-3	5	-7	-11	13	17	-19	-23
5520q	22080r	1035g	1725g	16905l	41745z	58305l	99705j	124545k	7935j

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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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