A conjecture which relates the minimal elliptic discriminant of an elliptic curve to the j-conductor. If true, it would imply Fermat's last theorem for sufficiently large exponents.
Szpiro's Conjecture
See also
Elliptic Curve, Elliptic Discriminant, j-ConductorExplore 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 Web Resource. https://mathworld.wolfram.com/SzpirosConjecture.html