Cremona's table of elliptic curves

17355 = 3 · 5 · 13 · 89

Class	r	Atkin-Lehner	Eigenvalues
17355a (1 curve)	2	3+ 5+ 13+ 89-	0 3+ 5+ -3  2 13+ -7  1
Curve Equation t Generators 17355a1 [0,-1,1,-911,10892] 1 [-34:37:1]&[16:12:1]
17355b (2 curves)	0	3+ 5+ 13- 89+	-1 3+ 5+  0  4 13- -4  6
Curve Equation t 17355b1 [1,1,1,444,444] 2 17355b2 [1,1,1,-1781,1334] 2
17355c (1 curve)	2	3+ 5- 13+ 89+	0 3+ 5- -1  0 13+ -5 -7
Curve Equation t Generators 17355c1 [0,-1,1,-125,581] 1 [-5:32:1]&[5:7:1]
17355d (1 curve)	0	3+ 5- 13+ 89+	2 3+ 5- -2 -6 13+ -6 -2
Curve Equation t 17355d1 [0,-1,1,-268380,-61436347] 1
17355e (1 curve)	1	3+ 5- 13- 89+	0 3+ 5-  0  0 13-  4 -2
Curve Equation t Generators 17355e1 [0,-1,1,-2735,-56602] 1 [64:162:1]
17355f (1 curve)	0	3+ 5- 13- 89-	0 3+ 5-  2 -5 13-  3 -3
Curve Equation t 17355f1 [0,-1,1,45,-142] 1
17355g (2 curves)	0	3+ 5- 13- 89-	1 3+ 5-  4  4 13-  0  2
Curve Equation t 17355g1 [1,1,0,-92707,10826464] 2 17355g2 [1,1,0,-1483332,694735839] 2
17355h (1 curve)	0	3- 5+ 13+ 89+	0 3- 5+ -2  5 13+ -7 -1
Curve Equation t 17355h1 [0,1,1,6479,59986] 1
17355i (4 curves)	1	3- 5+ 13- 89+	1 3- 5+ -4 -4 13-  6 -4
Curve Equation t Generators 17355i1 [1,0,1,-364,-43] 2 [-17:44:1] 17355i2 [1,0,1,-4009,-97729] 4 [121:1031:1] 17355i3 [1,0,1,-64084,-6249409] 2 [23764:282653:64] 17355i4 [1,0,1,-2254,-183373] 2 [950:8383:8]
17355j (2 curves)	0	3- 5+ 13- 89-	0 3- 5+  5  0 13-  3 -1
Curve Equation t 17355j1 [0,1,1,-1591,-15035] 3 17355j2 [0,1,1,-113731,-14800694] 1
17355k (1 curve)	2	3- 5+ 13- 89-	-2 3- 5+ -2 -6 13- -6  2
Curve Equation t Generators 17355k1 [0,1,1,-46,460] 1 [-8:19:1]&[-1:22:1]
17355l (2 curves)	1	3- 5- 13+ 89+	-1 3- 5-  2  2 13+ -2  4
Curve Equation t Generators 17355l1 [1,0,0,-2770,54275] 2 [-55:230:1] 17355l2 [1,0,0,875,187682] 2 [29:473:1]

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

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