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Rational points on elliptic curves by John Tate, Joseph H. Silverman

Rational points on elliptic curves John Tate, Joseph H. Silverman ebook
Format: djvu
Page: 296
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
ISBN: 3540978259, 9783540978251

It had long been known that the rational points on an elliptic curve, defined over the rationals, form a group Γ under a chord and tangent construction; Mordell proved that Γ has a finite basis. It also has It has no dependencies (instead of PARI), because Mark didn't want to have to license sympow under the GPL. 106, Springer 1986; Advanced Topics in the Arithmetic of Elliptic Curves Graduate Texts in Mathl. After a nice work lunch with two of my soon-to-be collaborators, I attended Wei Ho's talk in the Current Events Bulletin on “How many rational points does a random curve have?”. Silverman, John Tate, Rational Points on Elliptic Curves, Springer 1992. This library is very, very good and fast for doing computations of many functions relevant to number theory, of "class groups of number fields", and for certain computations with elliptic curves. Sub Child Category 1; Sub Child Category 2; Sub Child Category 3. Ratpoints (C library): Michael Stoll's highly optimized C program for searching for certain rational points on hyperelliptic curves (i.e. Wei Ho delivered a very Ho talked about how Bhargava and his school are approaching different conjectures on the ranks of elliptic curves. Silverman, Joseph H., Tate, John, Rational Points on Elliptic Curves, 1992 63. Devlin, Keith, The Joy of Sets – Fundamentals of Contemporary Set Theory, 1993 64. Kinsey, L.Christine, Topology of Surfaces, 1993 65. Hey, now we know that this is a question in arithmetic statistics! Heavily on the fact that E has a rational point of finite rank.