Toy Verification for Law of Large Conductors k<=5

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Autor principal: Madia, Koukou
Formato: Recurso digital
Lenguaje:inglés
Publicado: Zenodo 2026
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_version_ 1866902145484193792
author Madia, Koukou
author_facet Madia, Koukou
contents &lt;p&gt;Certificates for 5 congruent number elliptic curves E: y^2 = x^3 - n^2*x verifying BSD conjecture holds for k&lt;=5.&lt;/p&gt; &lt;p&gt;Merkle ROOT: 5144200128b88b4f1aa047f93df2d2ded6134163ddc34a01bd058d0699b8b951&lt;/p&gt; &lt;p&gt;To verify: python3 verify_L13.py&lt;/p&gt; &lt;p&gt;This demonstrates the computational pipeline for the Law of Large Conductors. Each line contains: n Selmer_rank conductor L(E,1) sha256_hash&lt;/p&gt; &lt;p&gt;Curves computed in SageMath 9.3. All L(E,1) = 0 as expected for rank 0 congruent number curves.&lt;/p&gt;
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_20400189
institution Zenodo
language eng
publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle Toy Verification for Law of Large Conductors k<=5
Madia, Koukou
elliptic curves
BSD conjecture
congruent numbers
L -functions
cryptography
&lt;p&gt;Certificates for 5 congruent number elliptic curves E: y^2 = x^3 - n^2*x verifying BSD conjecture holds for k&lt;=5.&lt;/p&gt; &lt;p&gt;Merkle ROOT: 5144200128b88b4f1aa047f93df2d2ded6134163ddc34a01bd058d0699b8b951&lt;/p&gt; &lt;p&gt;To verify: python3 verify_L13.py&lt;/p&gt; &lt;p&gt;This demonstrates the computational pipeline for the Law of Large Conductors. Each line contains: n Selmer_rank conductor L(E,1) sha256_hash&lt;/p&gt; &lt;p&gt;Curves computed in SageMath 9.3. All L(E,1) = 0 as expected for rank 0 congruent number curves.&lt;/p&gt;
title Toy Verification for Law of Large Conductors k<=5
topic elliptic curves
BSD conjecture
congruent numbers
L -functions
cryptography
url https://doi.org/10.5281/zenodo.20400189