Cremona's table of elliptic curves

4575 = 3 · 5² · 61

Class	r	Atkin-Lehner	Eigenvalues
4575a (2 curves)	1	3+ 5+ 61+	1 3+ 5+  2 -2  2  2 -4
Curve Equation t Generators 4575a1 [1,1,0,1250,13375] 2 [11316:148489:64] 4575a2 [1,1,0,-6375,112500] 2 [80:310:1]
4575b (1 curve)	1	3+ 5+ 61+	-2 3+ 5+ -1  4 -4 -4 -1
Curve Equation t Generators 4575b1 [0,-1,1,-158,-2782] 1 [22:62:1]
4575c (1 curve)	0	3+ 5- 61+	0 3+ 5- -1 -4 -4  2 -5
Curve Equation t 4575c1 [0,-1,1,123917,-51060432] 1
4575d (1 curve)	0	3+ 5- 61+	0 3+ 5-  3  4  4  2  3
Curve Equation t 4575d1 [0,-1,1,167,-432] 1
4575e (1 curve)	0	3- 5+ 61+	-2 3- 5+ -3 -4 -4 -8  7
Curve Equation t 4575e1 [0,1,1,-11508,-1470106] 1
4575f (4 curves)	1	3- 5+ 61-	-1 3- 5+  0  0  2  2 -4
Curve Equation t Generators 4575f1 [1,0,0,-1438,20867] 4 [31:64:1] 4575f2 [1,0,0,-1563,16992] 4 [-13:194:1] 4575f3 [1,0,0,-9188,-326133] 2 [-53:139:1] 4575f4 [1,0,0,4062,112617] 2 [-9:279:1]
4575g (1 curve)	1	3- 5- 61+	0 3- 5-  1 -4  4 -2 -5
Curve Equation t Generators 4575g1 [0,1,1,4957,-406501] 1 [643:16402:1]
4575h (1 curve)	1	3- 5- 61+	0 3- 5- -3  4 -4 -2  3
Curve Equation t Generators 4575h1 [0,1,1,7,-1] 1 [3:7:1]

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