Cremona's table of elliptic curves

17986 = 2 · 17 · 23²

Class	r	Atkin-Lehner	Eigenvalues
17986a (1 curve)	0	2+ 17+ 23-	2+  1  0  3  0  4 17+ -3
Curve Equation t 17986a1 [1,0,1,-1081,15964] 1
17986b (1 curve)	1	2+ 17- 23-	2+  1  0 -3  0  4 17-  3
Curve Equation t Generators 17986b1 [1,0,1,-571596,-195380214] 1 [17557890:1243319254:3375]
17986c (2 curves)	1	2+ 17- 23-	2+ -2 -2  0  0 -6 17- -6
Curve Equation t Generators 17986c1 [1,0,1,2898,-70240] 2 [29:181:1] 17986c2 [1,0,1,-18262,-696576] 2 [-48:288:1]
17986d (1 curve)	1	2- 17+ 23-	2-  0  1  0  0  3 17+ -4
Curve Equation t Generators 17986d1 [1,-1,1,-502,-4247] 1 [2548:11121:64]
17986e (4 curves)	1	2- 17+ 23-	2-  0 -2  0  0  6 17+ -4
Curve Equation t Generators 17986e1 [1,-1,1,-279676,-3009473] 2 [-11:261:1] 17986e2 [1,-1,1,-2988156,1981764671] 4 [1047:-251:1] 17986e3 [1,-1,1,-47762716,127063975487] 2 [104835:263911:27] 17986e4 [1,-1,1,-1549276,3892597311] 2 [-648095:3223331:343]
17986f (1 curve)	1	2- 17+ 23-	2-  0  3  2 -2 -7 17+  8
Curve Equation t Generators 17986f1 [1,-1,1,-9886,-3679187] 1 [397:7207:1]
17986g (1 curve)	0	2- 17- 23-	2-  0 -1  0  0  3 17-  4
Curve Equation t 17986g1 [1,-1,1,-265393,53262373] 1
17986h (1 curve)	2	2- 17- 23-	2-  0 -3 -2  2 -7 17- -8
Curve Equation t Generators 17986h1 [1,-1,1,-19,307] 1 [-5:18:1]&[1:16:1]
17986i (1 curve)	0	2- 17- 23-	2-  1  4 -3 -6  6 17-  3
Curve Equation t 17986i1 [1,0,0,-31751,2175233] 1
17986j (4 curves)	0	2- 17- 23-	2- -2  0  4 -6  2 17-  4
Curve Equation t 17986j1 [1,0,0,-1598,-15356] 2 17986j2 [1,0,0,-22758,-1323044] 2 17986j3 [1,0,0,-54498,4891648] 2 17986j4 [1,0,0,-59788,3883374] 2
17986k (2 curves)	0	2- 17- 23-	2- -2  0 -4  2  2 17- -4
Curve Equation t 17986k1 [1,0,0,-52451948,146210072464] 2 17986k2 [1,0,0,-52790508,144226855696] 2
17986l (1 curve)	0	2- 17- 23-	2-  3  0  1  2  2 17-  1
Curve Equation t 17986l1 [1,-1,1,165,-16391] 1

Data from Elliptic Curve Data by J. E. Cremona.
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