Cremona's table of elliptic curves

16728 = 2³ · 3 · 17 · 41

Class	r	Atkin-Lehner	Eigenvalues
16728a (1 curve)	0	2+ 3+ 17+ 41-	2+ 3+ -3 -1  0  0 17+ -2
Curve Equation t 16728a1 [0,-1,0,-1195652,508022964] 1
16728b (1 curve)	1	2+ 3- 17- 41+	2+ 3- -3  3 -6  2 17-  0
Curve Equation t Generators 16728b1 [0,1,0,-98112,-18789264] 1 [4188:270264:1]
16728c (2 curves)	0	2+ 3- 17- 41-	2+ 3-  4  0  4  4 17- -6
Curve Equation t 16728c1 [0,1,0,-2176,24752] 2 16728c2 [0,1,0,-31336,2124272] 2
16728d (2 curves)	0	2- 3+ 17+ 41+	2- 3+  0  4  4  0 17+  4
Curve Equation t 16728d1 [0,-1,0,-2088,-36036] 2 16728d2 [0,-1,0,-2048,-37524] 2
16728e (4 curves)	2	2- 3+ 17+ 41+	2- 3+ -2  0 -4 -6 17+ -8
Curve Equation t Generators 16728e1 [0,-1,0,-244,1540] 2 [-15:40:1]&[-8:54:1] 16728e2 [0,-1,0,-424,-836] 4 [-10:48:1]&[-3:20:1] 16728e3 [0,-1,0,-5344,-148436] 2 [153:1610:1]&[-326:15:8] 16728e4 [0,-1,0,1616,-8180] 2 [41:354:1]&[405:8180:1]
16728f (1 curve)	0	2- 3+ 17+ 41+	2- 3+ -3  1 -2 -6 17+  4
Curve Equation t 16728f1 [0,-1,0,100328,2401564] 1
16728g (1 curve)	1	2- 3+ 17+ 41-	2- 3+  1  3  0 -4 17+ -2
Curve Equation t Generators 16728g1 [0,-1,0,20,4] 1 [0:2:1]
16728h (1 curve)	0	2- 3+ 17- 41-	2- 3+ -1  1  6 -6 17- -4
Curve Equation t 16728h1 [0,-1,0,-136,-836] 1
16728i (4 curves)	1	2- 3- 17+ 41+	2- 3-  2  0 -4 -2 17+  0
Curve Equation t Generators 16728i1 [0,1,0,273,-558] 2 [27:165:1] 16728i2 [0,1,0,-1172,-5760] 4 [-14:90:1] 16728i3 [0,1,0,-15112,-719488] 2 [152:720:1] 16728i4 [0,1,0,-10352,398160] 2 [88:420:1]
16728j (1 curve)	0	2- 3- 17- 41+	2- 3-  3  5  0  4 17- -2
Curve Equation t 16728j1 [0,1,0,-1059,-13626] 1
16728k (1 curve)	1	2- 3- 17- 41-	2- 3-  1  1  0 -4 17-  6
Curve Equation t Generators 16728k1 [0,1,0,-8620,-332368] 1 [362:-6642:1]

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