Cremona's table of elliptic curves

8540 = 2² · 5 · 7 · 61

Class	r	Atkin-Lehner	Eigenvalues
8540a (1 curve)	2	2- 5+ 7+ 61+	2- -1 5+ 7+ -3 -4 -1 -3
Curve Equation t Generators 8540a1 [0,-1,0,-36,40] 1 [-6:2:1]&[-2:10:1]
8540b (2 curves)	1	2- 5+ 7+ 61-	2-  2 5+ 7+  4 -6  8 -8
Curve Equation t Generators 8540b1 [0,-1,0,-51021,-4418830] 2 [-5508973434110:-7427029218:42326109125] 8540b2 [0,-1,0,-50716,-4474584] 2 [28795479292279043974110:-48656554808433493611907:109791456241303719000]
8540c (2 curves)	1	2- 5+ 7+ 61-	2- -2 5+ 7+  4 -6  0  0
Curve Equation t Generators 8540c1 [0,1,0,-61,0] 2 [-4:14:1] 8540c2 [0,1,0,244,244] 2 [19:110:1]
8540d (1 curve)	2	2- 5+ 7- 61-	2- -1 5+ 7- -5  0 -7 -7
Curve Equation t Generators 8540d1 [0,-1,0,-10836,436936] 1 [6:610:1]&[10:574:1]
8540e (1 curve)	0	2- 5+ 7- 61-	2-  3 5+ 7- -3  1 -3  8
Curve Equation t 8540e1 [0,0,0,632,-3292] 1
8540f (1 curve)	0	2- 5- 7+ 61-	2-  2 5- 7+  4  0  3  2
Curve Equation t 8540f1 [0,-1,0,-85,-1983] 1
8540g (1 curve)	0	2- 5- 7- 61+	2-  1 5- 7-  3  4  7  7
Curve Equation t 8540g1 [0,1,0,-10900,319300] 1

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

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