Cremona's table of elliptic curves

10540 = 2² · 5 · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
10540a (1 curve)	2	2- 5+ 17+ 31+	2- -1 5+ -2  1 -6 17+ -8
Curve Equation t Generators 10540a1 [0,-1,0,-6,25] 1 [-2:5:1]&[0:5:1]
10540b (2 curves)	1	2- 5+ 17+ 31-	2-  1 5+  2  0 -1 17+ -4
Curve Equation t Generators 10540b1 [0,1,0,-4836,127844] 3 [8785:50224:343] 10540b2 [0,1,0,-5276,102740] 1 [-49:496:1]
10540c (1 curve)	1	2- 5- 17+ 31+	2-  3 5- -2 -4 -1 17+  0
Curve Equation t Generators 10540c1 [0,0,0,-1567,-23866] 1 [-627:10:27]
10540d (1 curve)	0	2- 5- 17+ 31-	2-  3 5- -4  5  4 17+  4
Curve Equation t 10540d1 [0,0,0,-37,-559] 1
10540e (1 curve)	0	2- 5- 17- 31+	2-  1 5-  4 -5  0 17-  4
Curve Equation t 10540e1 [0,1,0,-430,-3647] 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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