Cremona's table of elliptic curves

1665 = 3² · 5 · 37

Class	r	Atkin-Lehner	Eigenvalues
1665a (1 curve)	1	3+ 5+ 37+	-2 3+ 5+  4  0  1 -4 -4
Curve Equation t Generators 1665a1 [0,0,1,27,74] 1 [3:13:1]
1665b (1 curve)	0	3+ 5- 37+	2 3+ 5-  4  0  1  4 -4
Curve Equation t 1665b1 [0,0,1,3,-3] 1
1665c (2 curves)	1	3- 5+ 37-	0 3- 5+  2  0 -1 -6  2
Curve Equation t Generators 1665c1 [0,0,1,-21648,1270809] 1 [473:9841:1] 1665c2 [0,0,1,-1771248,907333974] 3 [878:5386:1]
1665d (1 curve)	1	3- 5+ 37-	0 3- 5+ -3  5  4  4 -8
Curve Equation t Generators 1665d1 [0,0,1,-48,-122] 1 [-4:2:1]
1665e (1 curve)	1	3- 5- 37+	0 3- 5- -2 -4  5  2  6
Curve Equation t Generators 1665e1 [0,0,1,-12,765] 1 [-7:22:1]
1665f (2 curves)	1	3- 5- 37+	-1 3- 5- -2  0 -2 -2  2
Curve Equation t Generators 1665f1 [1,-1,1,-32,74] 2 [-6:7:1] 1665f2 [1,-1,1,13,236] 2 [4:16:1]
1665g (1 curve)	1	3- 5- 37+	2 3- 5- -5 -3 -2  4 -4
Curve Equation t Generators 1665g1 [0,0,1,-1407,-20313] 1 [-174:1:8]

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