Cremona's table of elliptic curves

127075 = 5² · 13 · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
127075a (1 curve)	1	5+ 13+ 17+ 23+	2  2 5+  2  4 13+ 17+  1
Curve Equation t Generators 127075a1 [0,-1,1,-8,-17] 1 [152281829334:32393010779:37326677688]
127075b (1 curve)	2	5+ 13+ 17+ 23-	-1 -1 5+ -4  3 13+ 17+  8
Curve Equation t Generators 127075b1 [1,1,1,537437,-33890844] 1 [870:32627:1]&[120:5627:1]
127075c (1 curve)	0	5+ 13+ 17+ 23-	2  2 5+  2  0 13+ 17+ -1
Curve Equation t 127075c1 [0,-1,1,-458,-8057] 1
127075d (1 curve)	1	5+ 13+ 17- 23-	0 -1 5+  0  1 13+ 17-  5
Curve Equation t Generators 127075d1 [0,-1,1,1767,-9882] 1 [28:246:1]
127075e (2 curves)	1	5+ 13+ 17- 23-	0  2 5+  4  0 13+ 17- -4
Curve Equation t Generators 127075e1 [0,-1,1,-73,353] 1 [234:1193:8] 127075e2 [0,-1,1,577,-4262] 1 [256:4105:1]
127075f (2 curves)	0	5+ 13- 17+ 23+	-1  0 5+  0  0 13- 17+  2
Curve Equation t 127075f1 [1,-1,1,95,-1528] 2 127075f2 [1,-1,1,-1530,-21028] 2
127075g (1 curve)	0	5+ 13- 17+ 23+	2  0 5+  0  0 13- 17+ -1
Curve Equation t 127075g1 [0,0,1,-1018475,532216781] 1
127075h (1 curve)	0	5+ 13- 17+ 23+	2  1 5+  4 -3 13- 17+ -5
Curve Equation t 127075h1 [0,1,1,-2158,-56781] 1
127075i (1 curve)	1	5+ 13- 17- 23+	0  2 5+  0  0 13- 17- -1
Curve Equation t Generators 127075i1 [0,-1,1,-457373,-118904447] 1 [5825421839380514262:93644970729309962605:6418056983900472]
127075j (1 curve)	1	5- 13+ 17+ 23-	0 -2 5-  0  0 13+ 17+ -1
Curve Equation t Generators 127075j1 [0,1,1,-11434333,-14885924506] 1 [81914:7763071:8]
127075k (2 curves)	1	5- 13- 17+ 23+	0 -2 5- -4  0 13- 17+ -4
Curve Equation t Generators 127075k1 [0,1,1,-1833,40494] 3 [-42:212:1] 127075k2 [0,1,1,14417,-503881] 1 [522:6779:8]
127075l (1 curve)	1	5- 13- 17- 23-	-2 -2 5- -2  4 13- 17-  1
Curve Equation t Generators 127075l1 [0,1,1,-208,-2506] 1 [37:204:1]

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

Part of Computational Number Theory
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