What is the burden of proving insufficient evidence in a motion to overturn a conviction?

"A defendant bears a heavy burden in seeking to overturn a conviction on grounds that the evidence was insufficient." United States v. Cruz, 363 F.3d 187, 197 (2d Cir. 2004). "The 'relevant question' in this inquiry is 'whether, after viewing the evidence in the light most favorable to the [government], any rational trier of fact could have found the essential elements of the crime beyond a reasonable doubt.'" United States v. Rodriguez, 392 F.3d 539, 544 (2d Cir. 2004) (alteration in original) (quoting Jackson v. Virginia, 443 U.S. 307, 319 (1979)) (emphasis in Jackson). Direct evidence is not required; "[i]n fact, the government is entitled to prove its case solely through circumstantial evidence, provided, of course, that the government still demonstrates each element of the charged offense beyond a reasonable doubt." Id.