Cremona's table of elliptic curves

13975 = 5² · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
13975a (1 curve)	1	5+ 13+ 43+	-1  1 5+ -2  2 13+  0  5
Curve Equation t Generators 13975a1 [1,0,0,-343963,-79613708] 1 [489757299:-3138491569:704969]
13975b (1 curve)	1	5+ 13+ 43+	-2  0 5+  4 -4 13+  3 -2
Curve Equation t Generators 13975b1 [0,0,1,-725,-7514] 1 [34:84:1]
13975c (1 curve)	1	5+ 13- 43-	1 -1 5+ -2  2 13-  4 -3
Curve Equation t Generators 13975c1 [1,1,0,100,-13625] 1 [26:73:1]
13975d (1 curve)	1	5+ 13- 43-	-2  2 5+ -2 -4 13- -5  6
Curve Equation t Generators 13975d1 [0,-1,1,32292,-6818432] 1 [143:838:1]
13975e (1 curve)	2	5- 13+ 43+	-1  1 5-  0 -6 13+ -2 -7
Curve Equation t Generators 13975e1 [1,0,0,-1138,14767] 1 [-39:34:1]&[27:49:1]
13975f (1 curve)	0	5- 13+ 43+	2 -2 5-  2 -4 13+  5  6
Curve Equation t 13975f1 [0,1,1,1292,-54031] 1
13975g (1 curve)	2	5- 13- 43-	1 -1 5-  0 -6 13-  2 -7
Curve Equation t Generators 13975g1 [1,1,0,-45,100] 1 [0:10:1]&[4:0:1]
13975h (1 curve)	0	5- 13- 43-	2  0 5- -4 -4 13- -3 -2
Curve Equation t 13975h1 [0,0,1,-18125,-939219] 1

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

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