Cremona's table of elliptic curves

116909 = 13 · 17 · 23²

Class	r	Atkin-Lehner	Eigenvalues
116909a (2 curves)	0	13+ 17+ 23-	1  0 -2  0  0 13+ 17+ -2
Curve Equation t 116909a1 [1,-1,0,2017,145880] 2 116909a2 [1,-1,0,-32368,2092071] 2
116909b (2 curves)	0	13+ 17+ 23-	1  2 -2 -2  6 13+ 17+ -4
Curve Equation t 116909b1 [1,1,0,-31486,-2163369] 2 116909b2 [1,1,0,-28841,-2538430] 2
116909c (2 curves)	0	13+ 17+ 23-	-1  0 -4  2 -6 13+ 17+ -8
Curve Equation t 116909c1 [1,-1,1,-387592,-92628950] 2 116909c2 [1,-1,1,-6198657,-5938560340] 2
116909d (1 curve)	0	13+ 17+ 23-	-2  0 -2  0  0 13+ 17+  1
Curve Equation t 116909d1 [0,0,1,-21550931,-51803852620] 1
116909e (1 curve)	0	13+ 17+ 23-	-2 -1  1  4  3 13+ 17+  5
Curve Equation t 116909e1 [0,-1,1,-45670,5472010] 1
116909f (1 curve)	1	13- 17+ 23-	0  0 -1 -1  3 13- 17+  4
Curve Equation t Generators 116909f1 [0,0,1,-48668,-4127655] 1 [1713309:45672177:2197]
116909g (1 curve)	1	13- 17+ 23-	2 -2 -1  3  3 13- 17+ -8
Curve Equation t Generators 116909g1 [0,1,1,-176,759] 1 [74:19:8]
116909h (1 curve)	1	13- 17+ 23-	-2 -2  0  2  0 13- 17+  1
Curve Equation t Generators 116909h1 [0,1,1,-9698,795846] 1 [130:1322:1]
116909i (1 curve)	2	13- 17- 23-	0  0  1  1 -3 13- 17- -4
Curve Equation t Generators 116909i1 [0,0,1,-92,339] 1 [-11:4:1]&[3:9:1]
116909j (1 curve)	2	13- 17- 23-	0  1 -3  0 -1 13- 17- -5
Curve Equation t Generators 116909j1 [0,1,1,37383,916987] 1 [74:8989:8]&[61:1851:1]
116909k (1 curve)	0	13- 17- 23-	2 -2  1 -3 -3 13- 17-  8
Curve Equation t 116909k1 [0,1,1,-93280,-9983587] 1

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

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