About: Modularity Links Elliptic Curves and Modular Forms

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Subject	modulo arithmetic, modular arithmetic, congruent, modulo, Chinese remainder theorem, Euler totient function, Fermat theorem, Fermat's little theorem, Fermat-Euler theorem, large Carmichael numbers, stochastic primality testing, Rabin-miller, Rabin test, Carl Friedrich Gauss, prime number theorem, strong pseudo-primes
Title	Modularity Links Elliptic Curves and Modular Forms - Numericana
Creator	Gerard Michon
Description	The modularity theorem states that every elliptic curve is modular.
content	http://dev.restore.ovi.cnr.it:8890/about/id/entity/http/www.numericana.com/answer/modularity.htm#content
links to	wikipedia-en:University_of_Michigan wikipedia-en:University_of_Georgia wikipedia-en:Barry_Mazur wikipedia-en:Hecke_algebra wikipedia-en:Lattice_(group) wikipedia-en:Elliptic_curve https://en.wikipedia.org/wiki/Wiles%27s_proof_of_Fermat%27s_Last_Theorem wikipedia-en:Cayley%E2%80%93Bacharach_theorem https://en.wikipedia.org/wiki/Richard_Taylor_(mathematician) http://www.numericana.com/answer/factoring.htm#ecm https://www.quantamagazine.org/authors/erica-klarreich/ https://en.wikipedia.org/wiki/Jonathan_Keating wikipedia-en:Modularity_theorem wikipedia-en:Modular_form wikipedia-en:Abelian_variety wikipedia-en:Ken_Ribet wikipedia-en:Mikio_Sato wikipedia-en:Picard_group wikipedia-en:Cubic_plane_curve wikipedia-en:Goro_Shimura https://en.wikipedia.org/wiki/John_Tate http://www.numericana.com/answer/culture.htm#trapez https://www.youtube.com/watch?v=VTveQ1ndH1c https://en.wikipedia.org/wiki/Arithmetic_of_abelian_varieties wikipedia-en:Yutaka_Taniyama wikipedia-en:Sato%E2%80%93Tate_conjecture https://www.math.brown.edu/~jhs/Presentations/WyomingEllipticCurve.pdf http://www.numericana.com/answer/modular.htm http://www.numericana.com/ http://www.numericana.com/answer/index.htm http://www.numericana.com/answer/units.htm http://www.numericana.com/answer/counting.htm http://www.numericana.com/answer/geometry.htm http://www.numericana.com/answer/algebra.htm http://www.numericana.com/answer/trig.htm http://www.numericana.com/answer/calculus.htm http://www.numericana.com/answer/functions.htm http://www.numericana.com/answer/analysis.htm http://www.numericana.com/answer/sets.htm http://www.numericana.com/answer/numbers.htm http://www.numericana.com/answer/recreational.htm http://www.numericana.com/answer/misc.htm http://www.numericana.com/answer/culture.htm http://www.numericana.com/answer/physics.htm mailto:g.michon@att.net http://www.numericana.com/arms/index.htm#fermat http://www.numericana.com/arms/michon.htm http://www.numericana.com/answer/p-adic.htm http://www.numericana.com/answer/primes.htm http://www.numericana.com/answer/reciprocity.htm http://www.numericana.com/answer/proof.htm http://www.numericana.com/fame/index.htm#haran http://www.numericana.com/answer/ellipse.htm http://michon.info http://www.numericana.com/answer/curve.htm http://www.numericana.com/answer/groups.htm#modular http://www.numericana.com/answer/groups.htm#elliptic http://www.numericana.com/answer/fields.htm http://www.numericana.com/fame/giants.htm#serre http://www.numericana.com/answer/algebra.htm#complex http://www.numericana.com/answer/projective.htm http://www.numericana.com/answer/modularity.htm#elliptic http://www.numericana.com/answer/modularity.htm#flt http://www.numericana.com/fame/giants.htm#fermat http://www.numericana.com/fame/giants.htm#diophantus http://www.numericana.com/fame/giants.htm#weierstrass http://www.numericana.com/fame/giants.htm#weil http://www.numericana.com/fame/giants.htm#wiles http://www.numericana.com/answer/curve.htm#confocal http://www.numericana.com/answer/open.htm#fermat http://www.numericana.com/arms/index.htm#x http://www.numericana.com/answer/algeom.htm http://www.numericana.com/answer/matrix.htm#discriminant https://genealogy.math.ndsu.nodak.edu/id.php?id=9696 http://www.numericana.com/answer/curvature.htm http://www.numericana.com/answer/modularity.htm#torus http://www.numericana.com/answer/modularity.htm#modular http://www.numericana.com/answer/modularity.htm#modularity http://www.numericana.com/answer/modularity.htm#tau http://www.jmilne.org/math/Books/ectext5.pdf http://math.uga.edu/~pete/EllipticCurves.pdf http://www.youtube.com/watch?v=A8fsU97g3tg https://en.wikipedia.org/wiki/Edward_Frenkel https://www.youtube.com/watch?v=ihMyW7Z5SAs https://www.youtube.com/watch?v=JBYEQfoDTak https://www.youtube.com/watch?v=ebm8QOVi3co https://www.youtube.com/watch?v=XCvn_LRddFw wikipedia-en:Martin_Eichler wikipedia-en:Gerhard_Frey https://en.wikipedia.org/wiki/Semistable_abelian_variety#Semistable_elliptic_curve http://www.numericana.com/answer/modularity.htm#frey wikipedia-en:Christophe_Breuil wikipedia-en:Fred_Diamond wikipedia-en:Brian_Conrad http://www.youtube.com/watch?v=6ymTZEeTjI8

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