Cremona's table of elliptic curves

16744 = 2³ · 7 · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
16744a (1 curve)	1	2+ 7+ 13+ 23+	2+  1 -3 7+  3 13+  0 -3
Curve Equation t Generators 16744a1 [0,1,0,23,91] 1 [3:14:1]
16744b (1 curve)	0	2+ 7+ 13+ 23-	2+  2  0 7+ -1 13+ -5  0
Curve Equation t 16744b1 [0,-1,0,-317073,-68614891] 1
16744c (1 curve)	2	2+ 7+ 13- 23+	2+ -3 -1 7+ -3 13-  2 -5
Curve Equation t Generators 16744c1 [0,0,0,212,-236] 1 [30:-182:1]&[9:49:1]
16744d (4 curves)	1	2+ 7+ 13- 23-	2+  0 -2 7+  4 13- -2  4
Curve Equation t Generators 16744d1 [0,0,0,-146,1185] 4 [-213:1160:27] 16744d2 [0,0,0,-2791,56730] 4 [-33:336:1] 16744d3 [0,0,0,-3251,36766] 2 [55:156:1] 16744d4 [0,0,0,-44651,3631574] 2 [266:3252:1]
16744e (1 curve)	1	2+ 7+ 13- 23-	2+  1 -3 7+ -5 13- -4  5
Curve Equation t Generators 16744e1 [0,1,0,-1097,20699] 1 [-25:182:1]
16744f (1 curve)	0	2+ 7- 13+ 23+	2+  2 -2 7- -5 13+ -7  0
Curve Equation t 16744f1 [0,-1,0,-235496009,-1390909566547] 1
16744g (4 curves)	0	2- 7+ 13+ 23+	2-  0 -2 7+  0 13+  2  4
Curve Equation t 16744g1 [0,0,0,-9071,332530] 4 16744g2 [0,0,0,-9091,330990] 4 16744g3 [0,0,0,-15851,-227386] 2 16744g4 [0,0,0,-2651,790806] 2
16744h (1 curve)	1	2- 7+ 13- 23+	2- -2  2 7+ -3 13-  5 -8
Curve Equation t Generators 16744h1 [0,1,0,-1177,-14757] 1 [-23:26:1]
16744i (1 curve)	0	2- 7- 13- 23+	2-  2 -2 7- -1 13-  3  4
Curve Equation t 16744i1 [0,-1,0,-169,-195] 1
16744j (1 curve)	1	2- 7- 13- 23-	2- -1  1 7-  5 13- -6  1
Curve Equation t Generators 16744j1 [0,-1,0,-2945,64309] 1 [-45:322:1]
16744k (1 curve)	1	2- 7- 13- 23-	2- -1 -1 7- -5 13- -2  7
Curve Equation t Generators 16744k1 [0,-1,0,-481,4277] 1 [11:14:1]

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