GitHub

CIRM project on isolated points

Code associated to the paper "Towards a classification of isolated j-invariants" by Abbey Bourdon, Sachi Hashimoto, Timo Keller, Zev Klagsbrun, David Lowry-Duda, Travis Morrison, Filip Najman, Himanshu Shukla

System requirements: Magma version at least 2.27 is required to read the data files.

Input:

On a specific curve: j-invariant On a data set of curves: txt file with list of j-invariants delimited by newline character, e.g. adelicgenusgt0curves.txt

Output:

On a specific curve: [j-invariant, empty list] or [j-invariant, set of pairs (level and degree)]

The list [< n_1,d_1>, ..., < n_k,d_k>] contains all points such that any isolated point

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