Cremona's table of elliptic curves

120575 = 5² · 7 · 13 · 53

Class	r	Atkin-Lehner	Eigenvalues
120575a (1 curve)	1	5+ 7+ 13+ 53+	1  1 5+ 7+  2 13+  6 -6
Curve Equation t Generators 120575a1 [1,0,1,-1,-17] 1 [1043:503:343]
120575b (4 curves)	1	5+ 7+ 13+ 53+	-1  0 5+ 7+  4 13+ -2  4
Curve Equation t Generators 120575b1 [1,-1,1,-2976880,1977648122] 2 [158:38795:1] 120575b2 [1,-1,1,-3055005,1868429372] 4 [3400337:-928877231:24389] 120575b3 [1,-1,1,3810620,9063604372] 2 [21413823439159052:-1608648179457821901:8952267703744] 120575b4 [1,-1,1,-11170630,-12317683128] 2 [-84825259405986:-733363847347765:64096048008]
120575c (1 curve)	0	5+ 7+ 13+ 53-	-2  0 5+ 7+ -1 13+  6  1
Curve Equation t 120575c1 [0,0,1,575,-18844] 1
120575d (2 curves)	0	5+ 7- 13+ 53+	1  2 5+ 7- -4 13+  2  2
Curve Equation t 120575d1 [1,1,0,175,11000] 2 120575d2 [1,1,0,-6450,189875] 2
120575e (1 curve)	1	5+ 7- 13+ 53-	-1 -1 5+ 7- -6 13+  0  2
Curve Equation t Generators 120575e1 [1,1,1,162,-134] 1 [4:22:1]
120575f (1 curve)	2	5+ 7- 13- 53-	-1 -1 5+ 7-  2 13-  0 -6
Curve Equation t Generators 120575f1 [1,1,1,7,-114] 1 [4:-2:1]&[9:23:1]
120575g (1 curve)	2	5- 7+ 13+ 53+	1  1 5- 7+  2 13+  0 -6
Curve Equation t Generators 120575g1 [1,0,1,174,-14577] 1 [27:86:1]&[8427:769386:1]
120575h (1 curve)	0	5- 7+ 13+ 53+	1  2 5- 7+ -1 13+  6 -2
Curve Equation t 120575h1 [1,1,0,175,-12250] 1
120575i (1 curve)	0	5- 7+ 13+ 53+	-1 -2 5- 7+ -3 13+ -2 -6
Curve Equation t 120575i1 [1,0,0,-1320718,-606761823] 1
120575j (1 curve)	1	5- 7+ 13- 53+	1  1 5- 7+ -6 13-  0  2
Curve Equation t Generators 120575j1 [1,0,1,4049,-24827] 1 [57646435:2087471609:42875]
120575k (1 curve)	1	5- 7- 13- 53-	1  2 5- 7- -3 13-  2 -6
Curve Equation t Generators 120575k1 [1,1,0,-33017950,-75845227875] 1 [31260:5410245:1]
120575l (1 curve)	1	5- 7- 13- 53-	-1 -1 5- 7-  2 13- -6 -6
Curve Equation t Generators 120575l1 [1,1,1,-13,-2094] 1 [26:113:1]
120575m (1 curve)	1	5- 7- 13- 53-	-1 -2 5- 7- -1 13- -6 -2
Curve Equation t Generators 120575m1 [1,0,0,7,-98] 1 [7:-21:1]

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