# On the equation

@article{Bremner1984OnTE, title={On the equation}, author={Andrew Bremner and John W. Cassels}, journal={Mathematics of Computation}, year={1984}, volume={42}, pages={257-264} }

Generators are found for the group of rational points on the title curve for all primes p 5 (mod 8) less than 1,000. The rank is always I in accordance with conjectures of Selmer and Mordell. Some of the generators are rather large.

## 60 Citations

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### Arithmetic on curves

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### Elliptic Curves over Local Fields

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In this chapter we study the group of rational points on an elliptic curve defined over a field which is complete with respect to a discrete valuation. We start with some basic facts concerning…

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### The Formal Group of an Elliptic Curve

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Let E be an elliptic curve. In this chapter we study an “infinitesimal” neighborhood of E centered at the origin O.

### Ranks of elliptic curves y^2=x^3\pm4px

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- 2015

Suppose that y 2 = x 3 +4px, y 2 = x 3 4px are elliptic curves where p is an odd prime. Then we treat ranks of these two curves according to the condition of prime number p. Mathematics Subject…

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- Mathematics
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