Cremona's table of elliptic curves

8109 = 3² · 17 · 53

Class	r	Atkin-Lehner	Eigenvalues
8109a (1 curve)	1	3+ 17+ 53+	1 3+  2 -5  6  1 17+ -1
Curve Equation t Generators 8109a1 [1,-1,0,-261,-1510] 1 [-10:10:1]
8109b (1 curve)	1	3+ 17- 53-	-1 3+ -2 -5 -6  1 17- -1
Curve Equation t Generators 8109b1 [1,-1,1,-2351,43120] 1 [88:-760:1]
8109c (1 curve)	0	3- 17+ 53+	-1 3-  0 -1  0  5 17+ -3
Curve Equation t 8109c1 [1,-1,1,-11705,-484446] 1
8109d (1 curve)	2	3- 17+ 53+	-1 3- -4 -3 -4  5 17+ -1
Curve Equation t Generators 8109d1 [1,-1,1,-32,20] 1 [-3:10:1]&[-2:9:1]
8109e (1 curve)	0	3- 17+ 53+	2 3- -3  2  0 -7 17+  0
Curve Equation t 8109e1 [0,0,1,-39,85] 1
8109f (1 curve)	0	3- 17+ 53+	-2 3- -1 -2  0  1 17+ -4
Curve Equation t 8109f1 [0,0,1,-13563,-113650] 1
8109g (2 curves)	1	3- 17+ 53-	0 3-  3 -4 -6  5 17+ -4
Curve Equation t Generators 8109g1 [0,0,1,-156,-351] 1 [-3:9:1] 8109g2 [0,0,1,-6276,191358] 3 [98826:16866:2197]
8109h (1 curve)	1	3- 17+ 53-	1 3-  0  3  0 -3 17+ -5
Curve Equation t Generators 8109h1 [1,-1,0,-175302,26836353] 1 [816:20247:1]
8109i (1 curve)	1	3- 17+ 53-	1 3-  3 -3  0  3 17+  1
Curve Equation t Generators 8109i1 [1,-1,0,-603,-5562] 1 [3630:1686:125]
8109j (1 curve)	1	3- 17+ 53-	1 3- -3 -1  0  3 17+  1
Curve Equation t Generators 8109j1 [1,-1,0,-3111,1863998] 1 [862:24850:1]
8109k (2 curves)	0	3- 17- 53-	1 3-  0  2  6  6 17-  4
Curve Equation t 8109k1 [1,-1,0,-762,6695] 2 8109k2 [1,-1,0,1623,38654] 2
8109l (2 curves)	0	3- 17- 53-	1 3-  0 -4  0  2 17-  0
Curve Equation t 8109l1 [1,-1,0,-266382,-52851641] 2 8109l2 [1,-1,0,-268767,-51855188] 2

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

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