Cremona's table of elliptic curves

15575 = 5² · 7 · 89

Class	r	Atkin-Lehner	Eigenvalues
15575a (2 curves)	1	5+ 7+ 89+	-1  0 5+ 7+  0  4 -2  6
Curve Equation t Generators 15575a1 [1,-1,1,-85255,4061622] 2 [-312:621:1] 15575a2 [1,-1,1,305370,30624122] 2 [-655633:5431314:6859]
15575b (1 curve)	1	5+ 7+ 89+	-1  0 5+ 7+  0 -5  4  0
Curve Equation t Generators 15575b1 [1,-1,1,-36055,2644072] 1 [110:-54:1]
15575c (1 curve)	1	5+ 7+ 89+	-1  0 5+ 7+  3  4  1 -3
Curve Equation t Generators 15575c1 [1,-1,1,-130,-628] 1 [14:5:1]
15575d (1 curve)	0	5+ 7+ 89-	1  2 5+ 7+ -4  7 -4 -2
Curve Equation t 15575d1 [1,1,0,-10325,355250] 1
15575e (1 curve)	2	5+ 7+ 89-	-1  1 5+ 7+ -4 -2  3 -5
Curve Equation t Generators 15575e1 [1,0,0,687,18242] 1 [-17:50:1]&[13:165:1]
15575f (1 curve)	1	5+ 7- 89-	-2  1 5+ 7-  1  1 -3  0
Curve Equation t Generators 15575f1 [0,1,1,2592,61594] 1 [13:312:1]
15575g (1 curve)	1	5- 7- 89+	1  0 5- 7-  0  5 -4  0
Curve Equation t Generators 15575g1 [1,-1,0,-1442,21441] 1 [24:3:1]
15575h (1 curve)	2	5- 7- 89-	-1 -2 5- 7- -4 -7  4 -2
Curve Equation t Generators 15575h1 [1,0,0,-413,2842] 1 [-14:84:1]&[7:14:1]

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

Part of Computational Number Theory
Back to Tables and computations