Cremona's table of elliptic curves

105825 = 3 · 5² · 17 · 83

Class	r	Atkin-Lehner	Eigenvalues
105825a (1 curve)	1	3+ 5+ 17- 83-	1 3+ 5+  2 -5  4 17- -5
Curve Equation t Generators 105825a1 [1,1,0,-5550,203625] 1 [56:241:1]
105825b (1 curve)	0	3+ 5- 17+ 83+	1 3+ 5-  2  5 -1 17+  7
Curve Equation t 105825b1 [1,1,0,-5825,110250] 1
105825c (2 curves)	0	3- 5+ 17+ 83+	-1 3- 5+  0  0 -4 17+  4
Curve Equation t 105825c1 [1,0,0,32187,-1063008] 2 105825c2 [1,0,0,-144188,-8999883] 2
105825d (4 curves)	0	3- 5+ 17- 83-	1 3- 5+  0  0  2 17- -8
Curve Equation t 105825d1 [1,0,1,-2401,370823] 2 105825d2 [1,0,1,-93526,10941323] 4 105825d3 [1,0,1,-150901,-4090927] 2 105825d4 [1,0,1,-1494151,702850073] 2
105825e (1 curve)	0	3- 5+ 17- 83-	1 3- 5+  0 -3 -1 17-  7
Curve Equation t 105825e1 [1,0,1,-129298401,-565846370927] 1
105825f (1 curve)	2	3- 5+ 17- 83-	-1 3- 5+ -4 -3 -3 17- -3
Curve Equation t Generators 105825f1 [1,0,0,-4688,13617] 1 [-514:2057:8]&[-53:364:1]
105825g (1 curve)	1	3- 5- 17- 83-	-1 3- 5- -2  5  1 17-  7
Curve Equation t Generators 105825g1 [1,0,0,-233,882] 1 [1:25:1]

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

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