"Rational Points on Elliptic Curves" by Joseph H. Silverman and John T. Tate is a foundational, accessible textbook bridging algebra and number theory, covering key topics like the group law, Mordell's theorem, and the Nagell–Lutz theorem. Published by Springer, the text offers an informal approach to arithmetic geometry with practical applications in cryptography and numerous exercises. For more details, visit Google Books . Joseph H. Silverman - The Arithmetic of Elliptic Curves