Any regular diagram of a knot has a finite number of crossing points. Given all the regular diagrams of a knot, the crossing number of the diagram with the fewest crossings is the crossing number of the knot.

Knots are often listed on tables by their crossing numbers.
The crossing number of the unknot is zero. No nontrivial knots have crossing
number 1 or 2, and the trefoil is the only knot with a crossing number
of 3. There is one 4-crossing knot, two 5-crossing knots, three 6-crossing
knots, seven 7-crossing knots, 21 8-crossing knots, 49 9-crossing knots,
165 10-crossing knots, and 552 11-crossing knots. So, on a knot table,
3_{1} represents the
trefoil and 7_{1} , 7_{2},
. . . , 7_{7} represent
the knots with 7 crossings. Knots with 11 crossings are divided into
two groups based on whether they are alternating or nonalternating.
There are 367 alternating 11-crossing knots and 185 nonalternating 11-crossing
knots.