## 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 lambda_{MW}

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 lambda_{MW} should be
taken as lower bounds. In particular rank 2 curves are listed as rank 1.

Tables of invariants

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.
Quadratic twists: conductor 1-100

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 lambda_{MW}

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

37A with varying p