Cremona's table of elliptic curves

105850 = 2 · 5² · 29 · 73

Class	r	Atkin-Lehner	Eigenvalues
105850a (2 curves)	1	2+ 5+ 29+ 73+	2+  2 5+ -2 -6 -5 -6 -1
Curve Equation t Generators 105850a1 [1,1,0,-102576750,399986976500] 1 [149628:1058870:27] 105850a2 [1,1,0,73985750,1578482289000] 1 [816595188136122:-403564513951660120:3354790473]
105850b (1 curve)	0	2+ 5+ 29+ 73-	2+  1 5+  0  0 -4 -1 -1
Curve Equation t 105850b1 [1,0,1,-2676,-53502] 1
105850c (1 curve)	0	2+ 5+ 29+ 73-	2+ -1 5+ -2  5 -6 -4  8
Curve Equation t 105850c1 [1,1,0,1100,-10000] 1
105850d (1 curve)	0	2+ 5+ 29- 73+	2+  1 5+  0 -2  2 -3 -3
Curve Equation t 105850d1 [1,0,1,-3359251,-2374755602] 1
105850e (2 curves)	2	2+ 5+ 29- 73+	2+ -1 5+ -2 -3 -5  0 -4
Curve Equation t Generators 105850e1 [1,1,0,-33725,2432125] 1 [114:235:1]&[-46:1995:1] 105850e2 [1,1,0,154775,9319625] 1 [167684:7307481:1331]&[404:11545:1]
105850f (1 curve)	0	2+ 5- 29- 73-	2+  2 5-  2  2 -6 -2 -6
Curve Equation t 105850f1 [1,1,0,5425,-118075] 1
105850g (1 curve)	1	2- 5+ 29- 73+	2-  1 5+ -2  5 -6 -4  0
Curve Equation t Generators 105850g1 [1,0,0,-15313,728617] 1 [42:-421:1]
105850h (1 curve)	1	2- 5+ 29- 73+	2- -1 5+  0 -6 -6 -3 -1
Curve Equation t Generators 105850h1 [1,1,1,37,2781] 1 [-5:52:1]
105850i (1 curve)	1	2- 5+ 29- 73+	2- -2 5+ -2  2  6  2 -6
Curve Equation t Generators 105850i1 [1,0,0,135612,-15030608] 1 [6534:199235:8]
105850j (1 curve)	1	2- 5+ 29- 73+	2- -3 5+ -2  3  2  0  0
Curve Equation t Generators 105850j1 [1,-1,1,-360480,-86993853] 1 [5109:359945:1]
105850k (1 curve)	0	2- 5+ 29- 73-	2-  2 5+ -2 -2  3 -2  5
Curve Equation t 105850k1 [1,1,1,-244688,-53136719] 1

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

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