Cremona's table of elliptic curves

120175 = 5² · 11 · 19 · 23

Class	r	Atkin-Lehner	Eigenvalues
120175a (2 curves)	1	5+ 11+ 19+ 23+	1 -2 5+  4 11+ -2  4 19+
Curve Equation t Generators 120175a1 [1,0,1,-301,123] 2 [37:181:1] 120175a2 [1,0,1,-3176,-68877] 2 [526:433:8]
120175b (1 curve)	1	5+ 11+ 19+ 23+	-2 -1 5+  2 11+ -6  0 19+
Curve Equation t Generators 120175b1 [0,-1,1,-272658,54892968] 1 [312:312:1]
120175c (1 curve)	0	5+ 11+ 19+ 23-	1  2 5+ -4 11+  0  3 19+
Curve Equation t 120175c1 [1,1,0,43975,-42118930] 1
120175d (1 curve)	2	5+ 11+ 19- 23+	-1  1 5+ -3 11+  2  2 19-
Curve Equation t Generators 120175d1 [1,0,0,-893,22382] 1 [-37:90:1]&[-19:190:1]
120175e (2 curves)	2	5+ 11+ 19- 23+	-1 -2 5+  0 11+  2 -4 19-
Curve Equation t Generators 120175e1 [1,0,0,-192846588,-1030796232833] 2 [129286:2103107:8]&[83107:23558134:1] 120175e2 [1,0,0,-192918463,-1029989435958] 2 [-7909:37005:1]&[1635798186:463693945832:19683]
120175f (2 curves)	1	5+ 11+ 19- 23-	1 -2 5+  4 11+ -2  2 19-
Curve Equation t Generators 120175f1 [1,0,1,-354626,72508023] 2 [-17708:791261:64] 120175f2 [1,0,1,502749,369159773] 2 [57:19921:1]
120175g (1 curve)	0	5+ 11- 19+ 23+	2  1 5+  3 11-  0  3 19+
Curve Equation t 120175g1 [0,1,1,-5208,135619] 1
120175h (2 curves)	1	5+ 11- 19+ 23-	1  0 5+  2 11-  2 -2 19+
Curve Equation t Generators 120175h1 [1,-1,0,-1067,9216] 2 [0:96:1] 120175h2 [1,-1,0,-15442,742341] 2 [4:823:1]
120175i (2 curves)	1	5+ 11- 19+ 23-	1 -2 5+  0 11-  6 -6 19+
Curve Equation t Generators 120175i1 [1,0,1,-501,-1477] 2 [397:7701:1] 120175i2 [1,0,1,1874,-10977] 2 [7:46:1]
120175j (1 curve)	1	5+ 11- 19- 23+	0  1 5+ -1 11-  6 -5 19-
Curve Equation t Generators 120175j1 [0,1,1,-363,-2786] 1 [-1420:61:125]
120175k (1 curve)	1	5+ 11- 19- 23+	2 -3 5+  2 11-  2  0 19-
Curve Equation t Generators 120175k1 [0,0,1,425,-3219] 1 [580:2343:64]
120175l (1 curve)	0	5- 11+ 19+ 23+	-1 -2 5-  4 11+  0 -3 19+
Curve Equation t 120175l1 [1,0,0,1099362,-5267064983] 1
120175m (1 curve)	2	5- 11+ 19- 23-	1 -1 5-  3 11+ -2 -2 19-
Curve Equation t Generators 120175m1 [1,1,0,-22325,2797750] 1 [-190:570:1]&[266:3838:1]
120175n (2 curves)	1	5- 11- 19+ 23+	2  1 5-  2 11- -4  2 19+
Curve Equation t Generators 120175n1 [0,1,1,-46208,-4192631] 1 [96122447605751928805919251488618844:47662268766053369475890443946324391:383705143429576597047568492779968] 120175n2 [0,1,1,25042,298406119] 1 [85609916:5364739899:21952]
120175o (2 curves)	0	5- 11- 19+ 23-	-2 -1 5- -2 11-  4 -2 19+
Curve Equation t 120175o1 [0,-1,1,-1848,-32802] 1 120175o2 [0,-1,1,1002,2386848] 5
120175p (1 curve)	2	5- 11- 19+ 23-	-2 -1 5- -3 11-  0 -3 19+
Curve Equation t Generators 120175p1 [0,-1,1,-208,1168] 1 [-8:47:1]&[-22:327:8]
120175q (1 curve)	1	5- 11- 19- 23-	0 -1 5-  1 11- -6  5 19-
Curve Equation t Generators 120175q1 [0,-1,1,-9083,-330057] 1 [-1491:224:27]

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

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