Index 195 Atkin and Lehner, 117 Dirichlet on primes in arithmetic progressions, 12 Faltings, 20, 141 Gross-Kolyvagin-Zagier, 135 Hasse, 39 Hecke, 115, 138 Mazur, 32 modularity, 140 Mordell-Weil, 28 Nagell-Lutz, 34 Siegel, 23 uniformization, 83 weak Mordell-Weil, 29 Nagell-Lutz, 151 torsion points, 30 Tunnell, 5 weakly modular function, 100 Weierstrass ℘-function, 82 Weierstrass equation, 21, 147
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