Cremona's table of elliptic curves

345 = 3 · 5 · 23

Class	r	Atkin-Lehner	Eigenvalues
345a (1 curve)	0	3+ 5+ 23-	0 3+ 5+  1  4  0  5  0
Curve Equation t 345a1 [0,-1,1,-731,-7369] 1
345e (1 curve)	0	3+ 5- 23+	2 3+ 5-  3  2 -2  5 -2
Curve Equation t 345e1 [0,-1,1,30,-97] 1
345c (4 curves)	0	3- 5+ 23+	1 3- 5+  4  4  6 -2 -4
Curve Equation t 345c1 [1,0,1,456,2401] 2 345c2 [1,0,1,-2189,20387] 4 345c3 [1,0,1,-16564,-807613] 2 345c4 [1,0,1,-30134,2010071] 2
345d (4 curves)	0	3- 5+ 23+	-1 3- 5+  4 -4 -2  6  8
Curve Equation t 345d1 [1,0,0,9,0] 4 345d2 [1,0,0,-36,-9] 4 345d3 [1,0,0,-411,-3234] 2 345d4 [1,0,0,-381,2820] 2
345b (1 curve)	1	3- 5+ 23-	0 3- 5+ -3 -4  0 -3 -8
Curve Equation t Generators 345b1 [0,1,1,-1,1] 1 [-1:1:1]
345f (1 curve)	1	3- 5- 23+	-2 3- 5- -5 -2 -6  1  2
Curve Equation t Generators 345f1 [0,1,1,-100,406] 1 [5:7:1]

Data from Elliptic Curve Data by J. E. Cremona.
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