Cremona's table of elliptic curves

40678 = 2 · 11 · 43²

Class	r	Atkin-Lehner	Eigenvalues
40678a (1 curve)	1	2+ 11+ 43+	2+  3 -1  3 11+  5 -7  1
Curve Equation t Generators 40678a1 [1,-1,0,-6206515,-5654106763] 1 [772449834:-86787598613:59319]
40678b (1 curve)	2	2+ 11+ 43-	2+ -1 -1 -3 11+ -5 -3  1
Curve Equation t Generators 40678b1 [1,1,0,-38,64] 1 [-6:14:1]&[0:8:1]
40678c (2 curves)	0	2+ 11+ 43-	2+ -1  3  1 11+ -1 -3  1
Curve Equation t 40678c1 [1,1,0,-22293431,-7400716907] 1 40678c2 [1,1,0,-1116309751,14355064335317] 1
40678d (2 curves)	0	2+ 11+ 43-	2+ -1  3 -5 11+  5  3 -5
Curve Equation t 40678d1 [1,1,0,-91886,-10759052] 1 40678d2 [1,1,0,-97906,-9276928] 1
40678e (1 curve)	2	2+ 11+ 43-	2+ -1 -4  0 11+ -2  6 -2
Curve Equation t Generators 40678e1 [1,1,0,-3339332,2347364560] 1 [-568:64012:1]&[1544:28812:1]
40678f (2 curves)	0	2+ 11+ 43-	2+  2  0 -2 11+  2  6  7
Curve Equation t 40678f1 [1,1,0,5,21] 1 40678f2 [1,1,0,-425,3203] 1
40678g (1 curve)	0	2+ 11+ 43-	2+  3  3  3 11+  1 -1 -5
Curve Equation t 40678g1 [1,-1,0,-62738443,191286343877] 1
40678h (1 curve)	2	2+ 11+ 43-	2+ -3 -3 -3 11+  1  5 -5
Curve Equation t Generators 40678h1 [1,-1,0,-196,-944] 1 [-9:10:1]&[-8:12:1]
40678i (1 curve)	0	2+ 11- 43+	2+  1 -1 -3 11-  1 -3 -1
Curve Equation t 40678i1 [1,0,1,-297864694,1978660154248] 1
40678j (1 curve)	2	2+ 11- 43+	2+ -1 -2 -2 11- -4 -2 -2
Curve Equation t Generators 40678j1 [1,1,0,-11476,-482224] 1 [125:174:1]&[136:636:1]
40678k (2 curves)	0	2+ 11- 43+	2+  2  4  4 11-  2 -2  4
Curve Equation t 40678k1 [1,1,0,-2098653,1158688685] 2 40678k2 [1,1,0,-508513,2874449745] 2
40678l (1 curve)	1	2+ 11- 43-	2+ -1 -1 -1 11-  1 -5 -5
Curve Equation t Generators 40678l1 [1,1,0,-468,3676] 1 [10:6:1]
40678m (1 curve)	0	2- 11+ 43+	2-  1  1  3 11+ -5 -3 -1
Curve Equation t 40678m1 [1,0,0,-71225,-6364747] 1
40678n (2 curves)	2	2- 11+ 43+	2-  1 -3 -1 11+ -1 -3 -1
Curve Equation t Generators 40678n1 [1,0,0,-12057,91961] 3 [-104:525:1]&[-80:779:1] 40678n2 [1,0,0,-603737,-180607111] 1 [-448:267:1]&[60596:599265:64]
40678o (2 curves)	0	2- 11+ 43+	2-  1 -3  5 11+  5  3  5
Curve Equation t 40678o1 [1,0,0,-169898177,852361785929] 3 40678o2 [1,0,0,-181029157,734322195421] 1
40678p (2 curves)	0	2- 11+ 43+	2- -2  0  2 11+  2  6 -7
Curve Equation t 40678p1 [1,0,0,8282,-1514820] 3 40678p2 [1,0,0,-786788,-268817354] 1
40678q (1 curve)	0	2- 11+ 43+	2-  3  3  3 11+  1  5  5
Curve Equation t 40678q1 [1,-1,1,-362751,79043623] 1
40678r (1 curve)	0	2- 11+ 43+	2- -3 -3 -3 11+  1 -1  5
Curve Equation t 40678r1 [1,-1,1,-116003381454,-15207327305433891] 1
40678s (4 curves)	1	2- 11+ 43-	2-  0 -2  0 11+  2  2 -4
Curve Equation t Generators 40678s1 [1,-1,1,-20686,1100877] 4 [-1227123:-28225423:19683] 40678s2 [1,-1,1,-57666,-3898819] 4 [776626572236141347:13216387654858078571:1711764712857367] 40678s3 [1,-1,1,145724,-25376803] 2 [5770507471200673279324224246:-203386622502748604150958811201:5264222672957556867084072] 40678s4 [1,-1,1,-852736,-302845139] 2 [42997243115965748362004987083454:-973303044211973826959452803037101:32706637725842351971362997768]
40678t (1 curve)	1	2- 11+ 43-	2- -3  1 -3 11+  5 -7 -1
Curve Equation t Generators 40678t1 [1,-1,1,-3357,71973] 1 [-17:360:1]
40678u (1 curve)	1	2- 11- 43+	2-  1  1  1 11-  1 -5  5
Curve Equation t Generators 40678u1 [1,0,0,-866295,-307855291] 1 [-420246:372835:729]
40678v (1 curve)	1	2- 11- 43+	2-  1  2  2 11- -4 -2  2
Curve Equation t Generators 40678v1 [1,0,0,-21220087,37958227753] 1 [14946:1741681:1]
40678w (2 curves)	1	2- 11- 43+	2- -2 -4 -4 11-  2 -2 -4
Curve Equation t Generators 40678w1 [1,0,0,-1135,-14679] 2 [-20:21:1] 40678w2 [1,0,0,-275,-36179] 2 [66:451:1]
40678x (2 curves)	0	2- 11- 43-	2- -1  0  4 11-  2  6 -2
Curve Equation t 40678x1 [1,1,1,26772,723313] 1 40678x2 [1,1,1,-481703,131625117] 1
40678y (1 curve)	0	2- 11- 43-	2- -1  1  3 11-  1 -3  1
Curve Equation t 40678y1 [1,1,1,-161095,-24954051] 1

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