Cremona's table of elliptic curves

81344 = 2⁶ · 31 · 41

Class	r	Atkin-Lehner	Eigenvalues
81344a (2 curves)	1	2+ 31+ 41+	2+ -2  2  2  2 -2  8  4
Curve Equation t Generators 81344a1 [0,1,0,-137,55] 2 [15:40:1] 81344a2 [0,1,0,-1377,-20033] 2 [-21:8:1]
81344b (2 curves)	1	2+ 31+ 41+	2+ -2  2 -2 -6  6  4  0
Curve Equation t Generators 81344b1 [0,1,0,-91977,10705975] 2 [51:2480:1] 81344b2 [0,1,0,-93217,10401183] 2 [49:2440:1]
81344c (2 curves)	1	2+ 31+ 41+	2+ -2 -2  0 -6  0 -2  0
Curve Equation t Generators 81344c1 [0,1,0,25791,-11397089] 2 [205:1596:1] 81344c2 [0,1,0,-629569,-183494625] 2 [29883:5164032:1]
81344d (2 curves)	0	2+ 31+ 41-	2+  2  2 -4 -2 -4  4 -8
Curve Equation t 81344d1 [0,-1,0,-177,-1615] 2 81344d2 [0,-1,0,-3457,-77055] 2
81344e (2 curves)	0	2+ 31- 41+	2+  2  2  2  6  6  4  0
Curve Equation t 81344e1 [0,-1,0,-91977,-10705975] 2 81344e2 [0,-1,0,-93217,-10401183] 2
81344f (2 curves)	0	2+ 31- 41+	2+  2  2 -2 -2 -2  8 -4
Curve Equation t 81344f1 [0,-1,0,-137,-55] 2 81344f2 [0,-1,0,-1377,20033] 2
81344g (2 curves)	1	2+ 31- 41-	2+  0 -2  2  4  4 -4  2
Curve Equation t Generators 81344g1 [0,0,0,-716,-5520] 2 [-19:35:1] 81344g2 [0,0,0,-10636,-422160] 2 [32680:478716:125]
81344h (2 curves)	1	2- 31+ 41-	2-  0 -2 -2 -4  4 -4 -2
Curve Equation t Generators 81344h1 [0,0,0,-716,5520] 2 [2:64:1] 81344h2 [0,0,0,-10636,422160] 2 [64:60:1]
81344i (2 curves)	1	2- 31- 41+	2-  2 -2  0  6  0 -2  0
Curve Equation t Generators 81344i1 [0,-1,0,25791,11397089] 2 [2689359083631:-236413503668224:66873977379] 81344i2 [0,-1,0,-629569,183494625] 2 [-195638553:-16867449856:970299]
81344j (2 curves)	0	2- 31- 41-	2- -2  2  4  2 -4  4  8
Curve Equation t 81344j1 [0,1,0,-177,1615] 2 81344j2 [0,1,0,-3457,77055] 2

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

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