WASHINGTON — In an era of deep partisan division, the Supreme Court could soon decide whether the drawing of electoral districts can be too political.

A dispute over Wisconsin’s Republican-drawn boundaries for the state legislature offers Democrats some hope of cutting into GOP electoral majorities across the United States. Election law experts say the case is the best chance yet for the high court to put limits on what lawmakers may do to gain a partisan advantage in creating political district maps.

The justices could say as early as today whether they will intervene.

The Constitution requires states to redo their political maps to reflect population changes identified in the once-a-decade census.

The issue of gerrymandering — creating districts that often are oddly shaped and with the aim of benefiting one party — is centuries old. The term comes from a Massachusetts state Senate district that resembled a salamander and was approved in 1812 by Massachusetts Gov. Elbridge Gerry.

Both parties have sought the largest partisan edge when they control redistricting. Yet Democrats are more supportive of having courts rein in extreme districting plans, mainly because Republicans control more legislatures and drew districts after the 2010 census that enhanced their advantage in those states and in the U.S. House of Representatives.

In the Wisconsin case, a federal court struck down the districts as unconstitutional in November, finding they were drawn to unfairly minimize the influence of Democratic voters.

The challengers to the Wisconsin districts say it is an extreme example of redistricting that has led to ever-increasing polarization in American politics because so few districts are genuinely competitive between the parties. In these safe seats, incumbents tend to be more concerned about primary challengers, so they try to appeal mostly to their party’s base.

Defenders of the Wisconsin plan argue that the election results it produced are similar to those under earlier court-drawn maps. They say the federal court overstepped its bounds and judges should stay out of an inherently political exercise.

The justices should correct the lower court’s “flawed analysis before it spreads to other jurisdictions and interferes with the states’ fundamental political responsibilities,” Texas Solicitor General Scott Keller wrote for 12 Republican-dominated states that are backing Wisconsin.

The issue has torn the court for decades. Some justices believe courts have no role to play in a matter best left to elected officials. Others say courts should step in. In 2004, Justice Anthony Kennedy staked out a position somewhere between those two views, saying courts could referee claims of excessively partisan redistricting, but only if they can find a workable way to do so. In that case and again in 2006, Kennedy didn’t find one.