Lower bounds on the odd part of the analytic order of Sha for quotients of J0(N)

[Up]

THIS WEB PAGE IS CURRENTLY UNDER DEVELOPMENT!



Enter a semicolon-separated list of levels N to obtain a list (of lists) of lower bounds on the odd part of the analytic order of Sha. The analytic order of Sha is the rational number 
     L(A,1)    #A(Q)*#Adual(Q)
   --------- * ------------.
    Omega_A     prod c_p

The numbers in the list are in an order-preserving bijection with the newforms of level N. For example, if you enter "389" for N you will obtain the list [0,0,0,0,25]. Then by consulting the newform table you can see that 25 is a lower bound on the odd part of the analytic order of Sha for the 20-dimensional abelian variety 389E.



Output format:           HUMAN                MAGMA