Cremona's table of elliptic curves

285 = 3 · 5 · 19

Class	r	Atkin-Lehner	Eigenvalues
285b (2 curves)	1	3+ 5+ 19+	1 3+ 5+ -2 -2 -4  2 19+
Curve Equation t Generators 285b1 [1,1,0,2,-17] 2 [6:13:1] 285b2 [1,1,0,-93,-378] 2 [-6:6:1]
285c (4 curves)	0	3+ 5- 19+	1 3+ 5-  4  4  2  2 19+
Curve Equation t 285c1 [1,1,0,23,-176] 2 285c2 [1,1,0,-382,-2849] 4 285c3 [1,1,0,-6007,-181724] 2 285c4 [1,1,0,-1237,13054] 4
285a (2 curves)	1	3- 5+ 19-	-1 3- 5+ -2 -6  0 -6 19-
Curve Equation t Generators 285a1 [1,0,0,19,0] 2 [1:4:1] 285a2 [1,0,0,-76,-19] 2 [-7:17:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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