Diff for "GaganSekhon" - Sagemath Wiki

Differences between revisions 1 and 3 (spanning 2 versions)

I used a Heuristic approach to narrow down the list of elliptic curves for which \rho_{2,E} is surjective mod 2 but not mod 4 or \rho_{2,E} is surjective mod 4 but not mod. 2not4or4not8v3.sage

The results of the above program for 2not4 curves is li4.sobj

I have verified the results of 2not4 list, using a galois approach, which involves compute the order of the Gal(Q(E[4])/Q). The program I used is 2not4or4not8galoisapproach.sage

The results of the above program for 2not4 curves is li8.sobj

-  ⇤ ← Revision 1 as of 2010-06-30 15:13:46 → 
  Size: 170
  Editor: GaganSekhon
  Comment:
+   ← Revision 3 as of 2010-06-30 15:19:30 → ⇥
  Size: 645
  Editor: GaganSekhon
  Comment:
-Deletions are marked like this.
+Additions are marked like this.
 Line 1:
-list st of Elliptic curves which for which ρE,2 is surjective mod 2 but not mod 4.
+I used a Heuristic approach to narrow down the list of elliptic curves for which $\rho_{2,E}$ is surjective mod 2 but not mod 4 or $\rho_{2,E}$ is surjective mod 4 but not mod. [[attachment:2not4or4not8v3.sage|2not4or4not8v3.sage]]
 Line 3:
-List of Elliptic curves which for which ρE,2 is surjective mod 4 but not mod 8.
+The results of the above program for 2not4 curves is [[attachment:li4.sobj|li4.sobj]]


I have verified the results of 2not4 list, using a galois approach, which involves compute the order of the Gal(Q(E[4])/Q). The program I used is [[attachment:2not4or4not8galoisapproach.sage|2not4or4not8galoisapproach.sage]]


The results of the above program for 2not4 curves is [[attachment:li8.sobj|li8.sobj]]