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Correspondence between a complex torus and an elliptic curve

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#number-theory #algebraic-geometry #elliptic-curves #projective-space #elliptic-functions
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What is the fastest way to estimate the Arc Length of an Ellipse?

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#calculus #geometry #numerical-methods #elliptic-curves #elliptic-integrals
2.8k
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Why is $y^2 = 1+x^4$ an elliptic curve?

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#elliptic-curves
58
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Field of discrete logarithms of a generator of a finite group

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#finite-groups #finite-fields #elliptic-curves #cryptography
1.6k
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Why Frey's curve cannot be constructed?

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#number-theory #algebraic-geometry #elliptic-curves #modular-forms
92
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When does an elliptic curve have accumulation points?

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#number-theory #algebraic-number-theory #diophantine-equations #elliptic-curves
1.4k
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Why is the genus of $y^2 = x^4 + 1$ not $3$ but $1$?

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#algebraic-geometry #elliptic-curves
371
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Endomorphism of the elliptic curve $y^2 = x^3 - ax$

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#abstract-algebra #elliptic-curves #arithmetic-geometry
95
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Can the coefficients of an elliptic curve be recovered from the curve itself?

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#algebraic-geometry #polynomials #elliptic-curves
107
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Stage 1 of Elliptic Curve Method (ECM)

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#prime-numbers #factoring #elliptic-curves #prime-factorization
90
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Cremona 2.14.1 Why is $c_4$ and $c_6$ complex when they should be rational?

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#sequences-and-series #number-theory #diophantine-equations #fourier-series #elliptic-curves
185
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How do you construct the Frey curve for (2,3,p)?

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#number-theory #modular-arithmetic #diophantine-equations #elliptic-curves
1.1k
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Example of addition of Twisted Edwards Curve on Sage, Python,..

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#elliptic-curves #sagemath
84
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Polynomial curves $F(x,y)$ giving rise to loops

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#algebraic-topology #elliptic-curves #geometric-topology
509
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Does the elliptic curve $y^2 = 4 x^3 -6075$ have any integer points?

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#number-theory #elliptic-curves

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