Cremona's table of elliptic curves

128986 = 2 · 11² · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
128986a (1 curve)	1	2+ 11+ 13+ 41+	2+  0 -1 -1 11+ 13+  7  1
Curve Equation t Generators 128986a1 [1,-1,0,86740,-62124848] 1 [696:17956:1]
128986b (1 curve)	1	2+ 11+ 13+ 41+	2+ -3 -1  2 11+ 13+  7  1
Curve Equation t Generators 128986b1 [1,-1,0,-548455,-156218243] 1 [1007733675:46015567807:421875]
128986c (1 curve)	0	2+ 11+ 13+ 41-	2+ -2  1  5 11+ 13+ -3  7
Curve Equation t 128986c1 [1,0,1,222637,-1140306] 1
128986d (1 curve)	2	2+ 11+ 13- 41+	2+ -1  1 -2 11+ 13-  3 -1
Curve Equation t Generators 128986d1 [1,1,0,3023,42827] 1 [11:273:1]&[158:2583:8]
128986e (1 curve)	2	2+ 11+ 13- 41+	2+ -2 -3 -1 11+ 13-  3  1
Curve Equation t Generators 128986e1 [1,0,1,-135,7610] 1 [-22:17:1]&[43:-308:1]
128986f (2 curves)	0	2+ 11- 13+ 41+	2+ -1  1  2 11- 13+ -3  5
Curve Equation t 128986f1 [1,1,0,-225667,-41621587] 1 128986f2 [1,1,0,1551823,1198893403] 1
128986g (1 curve)	2	2+ 11- 13+ 41+	2+ -3 -3 -4 11- 13+ -1  5
Curve Equation t Generators 128986g1 [1,-1,0,764,304816] 1 [47:-689:1]&[-122:4365:8]
128986h (1 curve)	1	2+ 11- 13+ 41-	2+  0  1 -1 11- 13+  3 -1
Curve Equation t Generators 128986h1 [1,-1,0,-2839469,-1846612443] 1 [931329862:32296039517:357911]
128986i (1 curve)	1	2+ 11- 13+ 41-	2+  1 -2  0 11- 13+  3  0
Curve Equation t Generators 128986i1 [1,0,1,-157,724] 1 [2:19:1]
128986j (1 curve)	1	2+ 11- 13+ 41-	2+  3  0 -4 11- 13+ -3  2
Curve Equation t Generators 128986j1 [1,-1,0,-843937,-298198675] 1 [-14325:7265:27]
128986k (1 curve)	1	2+ 11- 13- 41+	2+  0  1 -3 11- 13-  3  5
Curve Equation t Generators 128986k1 [1,-1,0,-7683704,8457335552] 1 [1312:24512:1]
128986l (4 curves)	1	2+ 11- 13- 41+	2+  0 -2  0 11- 13-  6  8
Curve Equation t Generators 128986l1 [1,-1,0,-20048,-1032960] 2 [9696:161552:27] 128986l2 [1,-1,0,-58768,4194240] 4 [398:9239:8] 128986l3 [1,-1,0,139672,26300456] 2 [10894:413335:8] 128986l4 [1,-1,0,-876728,316164184] 2 [95380:3033583:64]
128986m (1 curve)	1	2+ 11- 13- 41+	2+  3  1 -3 11- 13-  3  2
Curve Equation t Generators 128986m1 [1,-1,0,138744493706,5059533804120692] 1 [8946766752187467011934190144077886758:18654392452847577760934162236843014108263:165433115093699852228721020503464]
128986n (1 curve)	0	2+ 11- 13- 41-	2+ -1 -3  1 11- 13-  7  6
Curve Equation t 128986n1 [1,1,0,-2664,-592544] 1
128986o (1 curve)	0	2+ 11- 13- 41-	2+  3  2  2 11- 13-  0  0
Curve Equation t 128986o1 [1,-1,0,-91801,10903085] 1
128986p (1 curve)	1	2- 11+ 13+ 41-	2- -1  1  2 11+ 13+ -3  1
Curve Equation t Generators 128986p1 [1,1,1,25,-21] 1 [14:35:8]
128986q (1 curve)	1	2- 11+ 13+ 41-	2- -2 -3  1 11+ 13+ -3 -1
Curve Equation t Generators 128986q1 [1,0,0,-16277,-10145519] 1 [252:1205:1]
128986r (1 curve)	1	2- 11+ 13- 41+	2- -2  1 -5 11+ 13-  3 -7
Curve Equation t Generators 128986r1 [1,0,0,1840,1024] 1 [10:138:1]
128986s (1 curve)	2	2- 11+ 13- 41-	2-  0 -1  1 11+ 13- -7 -1
Curve Equation t Generators 128986s1 [1,-1,1,10495517,82656686115] 1 [-2813:177098:1]&[-741:273266:1]
128986t (1 curve)	2	2- 11+ 13- 41-	2- -3 -1 -2 11+ 13- -7 -1
Curve Equation t Generators 128986t1 [1,-1,1,-4533,118605] 1 [47:-112:1]&[-41:504:1]
128986u (2 curves)	1	2- 11- 13+ 41+	2- -2 -3  1 11- 13+ -3  1
Curve Equation t Generators 128986u1 [1,0,0,7636368,-13411798784] 1 [16400:2118496:1] 128986u2 [1,0,0,-72012487,470800419849] 1 [-2762:-803995:1]
128986v (1 curve)	2	2- 11- 13+ 41-	2- -1 -1  0 11- 13+ -7  1
Curve Equation t Generators 128986v1 [1,1,1,16514,3462075] 1 [369:7559:1]&[-73:1405:1]
128986w (1 curve)	2	2- 11- 13- 41+	2-  0  1 -3 11- 13- -3 -7
Curve Equation t Generators 128986w1 [1,-1,1,14618,-1402827] 1 [663:-17635:1]&[1014:12073:8]
128986x (1 curve)	0	2- 11- 13- 41+	2-  0 -3  1 11- 13-  3  1
Curve Equation t 128986x1 [1,-1,1,-1354,-39883] 1
128986y (1 curve)	0	2- 11- 13- 41+	2-  1 -2  0 11- 13- -3  0
Curve Equation t 128986y1 [1,0,0,-18939,-982915] 1
128986z (1 curve)	0	2- 11- 13- 41+	2-  3  0  4 11- 13-  3 -2
Curve Equation t 128986z1 [1,-1,1,-6975,225943] 1
128986ba (1 curve)	2	2- 11- 13- 41+	2- -3  1 -3 11- 13- -3 -4
Curve Equation t Generators 128986ba1 [1,-1,1,-65847,15189903] 1 [3:3870:1]&[323:5086:1]
128986bb (1 curve)	1	2- 11- 13- 41-	2-  1  1  1 11- 13-  5  0
Curve Equation t Generators 128986bb1 [1,0,0,-204795,-35716207] 1 [538:2877:1]
128986bc (1 curve)	1	2- 11- 13- 41-	2-  1  1 -4 11- 13-  5 -5
Curve Equation t Generators 128986bc1 [1,0,0,-454660,117964078] 1 [1698966:17829055:5832]
128986bd (1 curve)	1	2- 11- 13- 41-	2-  1 -2 -2 11- 13- -4  0
Curve Equation t Generators 128986bd1 [1,0,0,-20754,-2717692] 1 [868:24734:1]
128986be (1 curve)	1	2- 11- 13- 41-	2- -2  1  3 11- 13- -5  7
Curve Equation t Generators 128986be1 [1,0,0,-910,565764] 1 [340:6122:1]
128986bf (1 curve)	1	2- 11- 13- 41-	2- -2 -3  3 11- 13-  7 -1
Curve Equation t Generators 128986bf1 [1,0,0,-704767,-227826939] 1 [764814:128282701:27]

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