## Tables of Iwasawa invariants of elliptic curves

All computations have been done using MAGMA on William Stein's modular cluster.
There are still some bugs in the programs computing this data -- so user beware!
On this website are tables of Iwasawa invariants of elliptic curves (currently being computed). Specifically, for each curve (labeled as in Cremona) the mu and lambda-invariants are listed for the primes between 2 and 13.

The data is formatted in 9 columns. The first column records the curve's name. The second column records the rank. The remaining seven columns are devoted to the primes 2,3,5,7,11, and 13. In each column there are three numbers

mu   lambda   lambdaMW

where lambda_MW is the Mordell-Weil part of the lambda invariant.
-if the curve has supersingular reduction at p then the plus/minus invariants are listed with the plus invariants on top of the minus invariants.
-if the curve has split multiplicative reduction, a trivial zero is expected and in such cases a "*" follows the three invariants.
-if the curve has additive reduction at p then no invariants are listed.
-this program will not detect higher order zeroes of the L-function. So both the rank and lambdaMW should be taken as lower bounds. In particular rank 2 curves are listed as rank 1.

The following tables contain the Iwasawa invariants of quadratic twists of curves of low conductor for p=2,3,5 and 7. The format is similar to the preceeding tables -- here the first column is the discriminant of the twist.
The following table computes the lambda and mu invariants for 37A with p varying from 3 onward. The format of the data is

p   |   mu   lambda   lambdaMW

-if the curve has supersingular reduction at p then the plus/minus invariants are listed side-by-side with the plus invariants first.