Abstract
We now describe basics of elliptic curves and modular curves in three steps:
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1.
as plane curves over a field;
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2.
as scheme/group functor over a ring;
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3.
modular forms as functorial rules on modular curves.
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Hida, H. (2013). Elliptic Curves and Modular Forms. In: Elliptic Curves and Arithmetic Invariants. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6657-4_2
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DOI: https://doi.org/10.1007/978-1-4614-6657-4_2
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