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	345d1 345d2 345d3 345d4	Curves in isogeny class
deg	40	Modular degree for the optimal curve
Eigenvalues	-1 3- 5+  4 -4 -2  6  8	Hecke eigenvalues for primes less than 20
L	1.0604859958981	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5520p 22080q 1035f 1725d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 345d

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

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Quadratic twists for isogeny class 345d

-4	8	-3	5	-7	-11	13	17	-19	-23
5520p	22080q	1035f	1725d	16905m	41745u	58305j	99705l	124545i	7935k

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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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