Cremona's table of elliptic curves

285 = 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	3+ 5- 19+	Signs for the Atkin-Lehner involutions
Conductor	285	Conductor
Count	4	Number of curves in isogeny class
Curves	285c1 285c2 285c3 285c4	Curves in isogeny class
deg	72	Modular degree for the optimal curve
Eigenvalues	1 3+ 5-  4  4  2  2 19+	Hecke eigenvalues for primes less than 20
L	1.6268486353037	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	4560bd 18240bj 855a 1425h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 285c

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	2	+	-4	-2	0	-6	-6	8	-12	-14	4	14	-4	0	-14	16	0	-6	-10

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Quadratic twists for isogeny class 285c

-4	8	-3	5	-7	-11	13	17	-19
4560bd	18240bj	855a	1425h	13965r	34485i	48165e	82365i	5415l

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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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