A conjecture which relates the minimal elliptic discriminant of an elliptic curve to the elliptic curve conductor. If true, it would imply Fermat's last theorem for sufficiently large exponents.
Szpiro's Conjecture
See also
Elliptic Curve, Elliptic Curve Conductor, Elliptic DiscriminantExplore with Wolfram|Alpha
References
Cox, D. A. "Introduction to Fermat's Last Theorem." Amer. Math. Monthly 101, 3-14, 1994.Referenced on Wolfram|Alpha
Szpiro's ConjectureCite this as:
Weisstein, Eric W. "Szpiro's Conjecture." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SzpirosConjecture.html