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Course: MATH 168, Fall 2009
School: Washington
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Return * midterms * Return homework * New notes (rest of chapter) * New homework * Eisenstein series * Bernoulli numbers * Structure theorem * Watch NOVA FLT special * VM basis * Discuss course project - ideas: do something for SAGE - explore some topic further that we brushed on briefly (e.g., finite fields, number field sieve, etc.) --------- Next time: Hecke operators on level 1 forms

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Coursehero >> Washington >> Washington >> MATH 168

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Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
Return * midterms * Return homework * New notes (rest of chapter) * New homework * Eisenstein series * Bernoulli numbers * Structure theorem * Watch NOVA FLT special * VM basis * Discuss course project - ideas: do something for SAGE - explore some topic further that we brushed on briefly (e.g., finite fields, ...

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Washington - MATH - 168
was@form:~\$ magmaMagma V2.12-10 Wed Sep 28 2005 16:12:13 on form [S3818619903]Type ? for help. Type &lt;Ctrl&gt;-D to quit.Loading startup file &quot;/home/was/magma/local/init.m&quot;&gt; M := ModularSymbols(37);&gt; M;Full modular symbols space for Gamm
Washington - MATH - 168
Wed Nov 16 10:21:04 2005-* project / final exam due date? DUE: Friday at noon, Dec 9. Assigned (final): Wed Nov 30 (last day of class). Thur Dec 8: I'll be in my office all day on Thu Nov 8 to discuss projects. - I'll give you the
Washington - MATH - 168
was@modular:~/www/168/notes/2005-09-28\$ sage- SAGE Version 0.7.5, Export Date: 2005-09-29-0607 Distributed under the terms of the GNU General Public License (GPL) IPython shell - for help type &lt;object&gt;?, &lt;object&gt;?, %magic, or help
Washington - MATH - 168
* You can download the complete book from http:/modular.ucsd.edu/edu/fall05/168/refs/ It's stein-number_theory.pdf * REMINDER: Grad student number theory seminar on WEDNESDAY at 1pm* Certicom-WP-DPM.pdf - page 3 * Joe's
Washington - MATH - 168
was@form:~/168/notes/2005-09-26\$ sage- SAGE Version 0.7.4, Export Date: 2005-09-27-0000 Distributed under the terms of the GNU General Public L IPython shell - for help type &lt;object&gt;?, &lt;object&gt;?, %-sage: M = ModularSymbols(11)sage: M _2 =
Washington - MATH - 168
was@form:~\$ sage--| SAGE Version 0.9.12, Build Date: 2005-11-22-0059 || Distributed under the terms of the GNU General Public License || For help type &lt;object&gt;?, &lt;object&gt;?, %magic, or help |--sage: dimension_modular_forms(Gamma1
Washington - MATH - 168
- SAGE Version 0.7.9, Export Date: 2005-10-10-0104 Distributed under the terms of the GNU General Public Licen IPython shell - for help type &lt;object&gt;?, &lt;object&gt;?, %magi--sage: E = EC(GF(next_prime(10^20),[-1,0])sage: EElliptic Curve defin
Washington - MATH - 168
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&gt; p := 100000000000000000039;&gt; k := GF(p);&gt; E := EllipticCurve([k|0, 0, 0, 100000000000000000038, 0]);&gt; #E;100000000000000000040&gt; Factorization(#E);[ &lt;2, 3&gt;, &lt;5, 1&gt;, &lt;7, 1&gt;, &lt;41, 1&gt;, &lt;53, 1&gt;, &lt;164354743277891, 1&gt; ]&gt; P := E![10, 336750760782573
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