I'd like to thank Matt Baker, Robert Coleman, Janos Csirik, Barry Mazur, Ken Ribet, Helena Verrill, and Joe Wetherell for inspiring discussions and feedback. I would especially like to thank Kevin Buzzard for providing valuable feedback and the original motivation for undertaking some of these computations, and Hendrik Lenstra whose facility with both algorithms and graduate students is amazing.
Allan Steele from the Magma group in Sydney taught me Magma.
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