On the modular curve <em>X</em><sub>0</sub>(23)

  • René Schoof

    Università di Roma Tor Vergata, Italy
On the modular curve <em>X</em><sub>0</sub>(23) cover
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Abstract

The Jacobian J0(23)J_0(23) of the modular curve X0(23)X_0(23) is a semi-stable abelian variety over Q\mathbb Q with good reduction outside 23. It is simple. We prove that every simple semi-stable abelian variety over Q\mathbb Q with good reduction outside 23 is isogenous over Q\mathbb Q to J0(23)J_0(23).