Cremona's table of elliptic curves

8528 = 2⁴ · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
8528a (1 curve)	1	2+ 13- 41-	2+ -1  2 -2  6 13-  0  4
Curve Equation t Generators 8528a1 [0,-1,0,8,32] 1 [-2:2:1]
8528b (1 curve)	1	2+ 13- 41-	2+ -1  3 -5 -6 13-  3  8
Curve Equation t Generators 8528b1 [0,-1,0,656,53792] 1 [164:2132:1]
8528c (1 curve)	0	2- 13+ 41+	2- -1  1  1  2 13+ -5  0
Curve Equation t 8528c1 [0,-1,0,-27080,-1707536] 1
8528d (1 curve)	0	2- 13+ 41+	2- -1 -2 -2  2 13+  4  0
Curve Equation t 8528d1 [0,-1,0,-2744,-129680] 1
8528e (1 curve)	0	2- 13+ 41+	2- -1  4 -2 -4 13+ -2  0
Curve Equation t 8528e1 [0,-1,0,44,188] 1
8528f (1 curve)	0	2- 13+ 41+	2- -3  2  2  2 13+  0  0
Curve Equation t 8528f1 [0,0,0,-12139,523162] 1
8528g (4 curves)	1	2- 13+ 41-	2-  0 -2  0  0 13+ -6  8
Curve Equation t Generators 8528g1 [0,0,0,-2651,-49910] 2 [63:182:1] 8528g2 [0,0,0,-7771,200970] 4 [2079:94710:1] 8528g3 [0,0,0,-115931,15191946] 4 [173:560:1] 8528g4 [0,0,0,18469,1266314] 2 [259555:11853534:125]
8528h (2 curves)	1	2- 13+ 41-	2-  2  2 -4  0 13+ -6  8
Curve Equation t Generators 8528h1 [0,-1,0,-177,968] 2 [-1880:168:125] 8528h2 [0,-1,0,-172,1020] 2 [219:260:27]
8528i (1 curve)	1	2- 13+ 41-	2-  3  1 -3 -6 13+  3 -4
Curve Equation t Generators 8528i1 [0,0,0,-8707,729602] 1 [14619:335872:27]
8528j (1 curve)	0	2- 13- 41-	2- -3  0  2  0 13- -2 -4
Curve Equation t 8528j1 [0,0,0,-55,-158] 1

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

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