Introduction to Elliptic Curves and Modular Forms
Book
Domain Context
Number Theory and Analysis
Citation
Neal Koblitz. (1993). Introduction to Elliptic Curves and Modular Forms. 97. Springer.
Why this reference is included
Koblitz’s Introduction to Elliptic Curves and Modular Forms (1993), published by Springer, sits in the program’s reference corpus as a standing technical source. Cited 2 times in Book II (Categorical Holomorphy), Part 10, Chapter BSD Bridge: Proto-Rationality in Split-Complex Regime, where the program draws on it in the context of “Elliptic curves. An elliptic curve E / is a smooth projective curve of genus 1 defined over with a specified rational point.”
Cited in
-
Book II — Categorical Holomorphy Part 10Chapter BSD Bridge: Proto-Rationality in Split-Complex Regime
Elliptic curves. An elliptic curve E / is a smooth projective curve of genus 1 defined over with a specified rational point
-
Book II — Categorical Holomorphy Part 10Chapter BSD Bridge: Proto-Rationality in Split-Complex Regime
The known cases (r_an ≤ 1, by Gross–Zagier and Kolyvagin) use deep machinery from algebraic geometry and the theory of modular forms