Struct DrinfeldModule 

pub struct DrinfeldModule {
    pub rank: usize,
    pub characteristic: u64,
}

A Drinfeld module over a function field.

Drinfeld modules are analogues of elliptic curves in the function field setting. They play the same role in the Langlands programme over function fields as elliptic curves do over number fields.

Fields

rank: usize

The rank of the Drinfeld module (analogous to degree of an isogeny).

characteristic: u64

The characteristic of the underlying function field (a prime power).

Implementations

impl DrinfeldModule

pub fn new(rank: usize, characteristic: u64) -> Self

Constructs a Drinfeld module of given rank and characteristic.

pub fn is_ordinary(&self) -> bool

Returns true if the Drinfeld module is ordinary.

An ordinary Drinfeld module of rank r has r distinct period lattice generators; equivalently, its Hasse invariant is non-zero.

pub fn is_supersingular(&self) -> bool

Returns true if the Drinfeld module is supersingular.

A supersingular Drinfeld module has trivial p-torsion; it is the complement of ordinary in the moduli space.

pub fn height(&self) -> usize

Returns the height of the Drinfeld module.

The height is the rank minus the height of the formal group; for an ordinary module it equals 0, for supersingular it equals the rank.

Trait Implementations

impl Clone for DrinfeldModule

fn clone(&self) -> DrinfeldModule

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for DrinfeldModule

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.