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Can we find $n$ Pythagorean triples with a common leg for any $n$?

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#systems-of-equations #diophantine-equations #elliptic-curves #quadratic-forms #pythagorean-triples
524
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Solution of $X^5=5 Y (Y+1)+1$ in integers.

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#number-theory #diophantine-equations #elliptic-curves
903
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Why does birational equivalence preserve group law in elliptic curves?

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#algebraic-geometry #elliptic-curves
514
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CM elliptic curves and isogeny

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#complex-analysis #elliptic-curves #complex-multiplication
990
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Elliptic Curve and Differential Form Determine Weierstrass Equation

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#differential-forms #elliptic-curves #projective-geometry
341
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Difficulty understanding Hartshorne Theorem IV.4.11

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#algebraic-geometry #elliptic-curves #flatness
64
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Elementary Elliptic Curves

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#elementary-number-theory #elliptic-curves
80
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Flex points are invariant under isomorphism

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#algebraic-geometry #elliptic-curves #algebraic-curves
1k
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The Mordell equation $x^2 + 11 = y^3$.

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#algebraic-number-theory #elliptic-curves
56
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How do we know that reducing $E/K$ commutes with the addition law for $K$ local field

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#number-theory #algebraic-geometry #algebraic-number-theory #elliptic-curves #local-field
142
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How do I manually compute the point doubling of the point (3, 6) on the curve $y^2 = x^3 + 2x + 3$?

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#abstract-algebra #field-theory #finite-fields #elliptic-curves
304
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How does the Galois group act on $E[m]$?

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#number-theory #algebraic-number-theory #elliptic-curves
68
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Why is $E[2]$ of $E: y^2 = x^3 - p$ over $\mathbb{Q}_p$ ramified?

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#number-theory #galois-theory #algebraic-number-theory #elliptic-curves #local-field
261
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Birational equivalence of two curves on the projective plane

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#algebraic-geometry #elliptic-curves #algebraic-curves
514
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Regularity of the rational map $[X:Y:Z]\mapsto[X^2:XY:Z^2]$?

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#algebraic-geometry #elliptic-curves

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