Cremona's table of elliptic curves

10528 = 2⁵ · 7 · 47

Class	r	Atkin-Lehner	Eigenvalues
10528a (2 curves)	1	2+ 7+ 47+	2+  0  2 7+  0 -2  2  2
Curve Equation t Generators 10528a1 [0,0,0,11,-12] 2 [19:84:1] 10528a2 [0,0,0,-59,-110] 2 [534:2170:27]
10528b (2 curves)	0	2+ 7+ 47-	2+ -2 -2 7+ -2  6  6  4
Curve Equation t 10528b1 [0,1,0,-5374,149856] 2 10528b2 [0,1,0,-5384,149260] 2
10528c (2 curves)	0	2+ 7- 47+	2+  2 -2 7-  2  6  6 -4
Curve Equation t 10528c1 [0,-1,0,-5374,-149856] 2 10528c2 [0,-1,0,-5384,-149260] 2
10528d (4 curves)	1	2- 7+ 47-	2-  0  2 7+ -4  2  2  4
Curve Equation t Generators 10528d1 [0,0,0,-769,-8160] 4 [631329:6973920:4913] 10528d2 [0,0,0,-12284,-524032] 2 [514:11356:1] 10528d3 [0,0,0,-1259,3502] 4 [45:6902:125] 10528d4 [0,0,0,-299,-18030] 2 [774382843142610:-5077634741876592:14198858138375]
10528e (1 curve)	1	2- 7+ 47-	2- -1  3 7+  3  2 -6 -4
Curve Equation t Generators 10528e1 [0,-1,0,-49,161] 1 [5:4:1]
10528f (4 curves)	1	2- 7- 47+	2-  0  2 7-  4  2  2 -4
Curve Equation t Generators 10528f1 [0,0,0,-769,8160] 4 [143:1680:1] 10528f2 [0,0,0,-1259,-3502] 2 [3882:45080:27] 10528f3 [0,0,0,-12284,524032] 4 [19520:194208:125] 10528f4 [0,0,0,-299,18030] 2 [33:210:1]
10528g (1 curve)	1	2- 7- 47+	2-  1  3 7- -3  2 -6  4
Curve Equation t Generators 10528g1 [0,1,0,-49,-161] 1 [15:52:1]
10528h (2 curves)	0	2- 7- 47-	2-  0  2 7-  0 -2  2 -2
Curve Equation t 10528h1 [0,0,0,11,12] 2 10528h2 [0,0,0,-59,110] 2

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

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