Cremona's table of elliptic curves

83317 = 13² · 17 · 29

Class	r	Atkin-Lehner	Eigenvalues
83317a (1 curve)	1	13+ 17+ 29+	1 -1  0 -3  4 13+ 17+ -2
Curve Equation t Generators 83317a1 [1,1,0,1895,-17974] 1 [22:176:1]
83317b (1 curve)	1	13+ 17+ 29+	-1 -1  0  3 -4 13+ 17+  2
Curve Equation t Generators 83317b1 [1,1,1,320167,-41089872] 1 [2604:134559:1]
83317c (1 curve)	0	13+ 17- 29+	1  0 -1  2 -3 13+ 17-  4
Curve Equation t 83317c1 [1,-1,0,-29015,-3707118] 1
83317d (1 curve)	0	13+ 17- 29+	1  0  2  5  0 13+ 17- -5
Curve Equation t 83317d1 [1,-1,0,-1308176,1757371409] 1
83317e (2 curves)	0	13+ 17- 29+	-1  0  0  2 -2 13+ 17-  0
Curve Equation t 83317e1 [1,-1,1,-51070,-4426340] 2 83317e2 [1,-1,1,-62055,-2374342] 2
83317f (2 curves)	0	13+ 17- 29+	-1 -2  2 -2 -6 13+ 17- -4
Curve Equation t 83317f1 [1,0,0,-40817,-2351168] 2 83317f2 [1,0,0,101988,-15117935] 2
83317g (1 curve)	1	13+ 17- 29-	0 -1  4 -2  0 13+ 17- -2
Curve Equation t Generators 83317g1 [0,-1,1,-901,10714] 1 [22:32:1]
83317h (1 curve)	1	13+ 17- 29-	0 -1 -4  2  0 13+ 17-  2
Curve Equation t Generators 83317h1 [0,-1,1,-152325,22929987] 1 [307:2237:1]
83317i (1 curve)	1	13+ 17- 29-	1 -3 -1  2 -3 13+ 17-  4
Curve Equation t Generators 83317i1 [1,-1,0,-9580,459577] 1 [24:-505:1]

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

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