Cremona's table of elliptic curves

10647 = 3² · 7 · 13²

Class	r	Atkin-Lehner	Eigenvalues
10647a (2 curves)	0	3+ 7- 13+	1 3+  0 7-  0 13+  2  4
Curve Equation t 10647a1 [1,-1,0,-792,6995] 2 10647a2 [1,-1,0,1743,40964] 2
10647b (2 curves)	0	3+ 7- 13+	-1 3+  0 7-  0 13+ -2  4
Curve Equation t 10647b1 [1,-1,1,-7130,-181736] 2 10647b2 [1,-1,1,15685,-1121714] 2
10647c (3 curves)	0	3- 7+ 13+	0 3- -3 7+  0 13+  6  7
Curve Equation t 10647c1 [0,0,1,-11154,-454230] 1 10647c2 [0,0,1,19266,-2253573] 1 10647c3 [0,0,1,-178464,71519490] 1
10647d (1 curve)	0	3- 7+ 13+	-2 3- -1 7+ -2 13+  4 -3
Curve Equation t 10647d1 [0,0,1,-40053,-3530030] 1
10647e (2 curves)	1	3- 7+ 13-	2 3-  3 7+  0 13- -2 -1
Curve Equation t Generators 10647e1 [0,0,1,429,-38997] 1 [15496:20921:512] 10647e2 [0,0,1,-578721,-169454061] 1 [5101391167180473256:131369192877071924285:4113843448007168]
10647f (6 curves)	1	3- 7- 13+	-1 3- -2 7-  4 13+  6 -4
Curve Equation t Generators 10647f1 [1,-1,1,1489,4502] 2 [222:3241:1] 10647f2 [1,-1,1,-6116,41006] 4 [0:202:1] 10647f3 [1,-1,1,-59351,-5516728] 2 [907:25741:1] 10647f4 [1,-1,1,-74561,7843736] 4 [36:2263:1] 10647f5 [1,-1,1,-1192496,501523832] 2 [504:5071:1] 10647f6 [1,-1,1,-51746,12717020] 2 [-146:4213:1]
10647g (1 curve)	1	3- 7- 13+	2 3-  1 7- -2 13+  0 -1
Curve Equation t Generators 10647g1 [0,0,1,3862833,9388972323] 1 [28964:6782107:64]
10647h (1 curve)	1	3- 7- 13+	-2 3- -3 7- -6 13+ -4 -5
Curve Equation t Generators 10647h1 [0,0,1,1521,-14830] 1 [78:760:1]
10647i (2 curves)	0	3- 7- 13-	-2 3- -3 7-  0 13- -2  1
Curve Equation t 10647i1 [0,0,1,72501,-85675860] 1 10647i2 [0,0,1,-97803849,-372290571468] 1

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