---
title: "Magma V2.12-21 Patch Notes"
canonical: "https://docs.magma-maths.org/patchnotes/2.12-21.html"
source: "https://docs.magma-maths.org/patchnotes/2.12-21.md"
---

<a id="magma-v2-12-21-patch-notes"></a>
# Magma V2.12-21 Patch Notes

## Algebraic Geometry

- A bug in `ProjectiveClosure` has been fixed. This occasionally produced the wrong result when the affine argument had a super-scheme distinct from an ambient.
- A bug in the coercion of elements into a function field of a scheme has been fixed.

## Arithmetic Geometry

- A bug in conic parametrisation was fixed. This had caused four descent to return spurious answers for the elliptic curve $y^2 = x^3 + 1026x$. Reported by Joerg Jahnel.
- `CanonicalHeight` for points on Jacobians was patched.

## Finite Fields

- A bug in discrete logarithms in fields of characteristic two has been fixed.

## Local Rings and Fields

- A memory leak in the p-adics has been fixed.

## Polynomial Rings

- A bug in constructing the quotient by the zero ideal has been fixed. Reported by C. Woestijne.

## The Integer Ring

- The newly released GMP 4.2 is now linked in.
- A bug in multiplication of integers having more than $2^{30}$ bits has been fixed. Reported by JBR.
- The functions [`RandomBits`](../BasicRings/Integers/random.md#function-randombits-rngintelt) and [`Ilog2`](../BasicRings/Integers/operation-element.md#function-ilog2-rngintelt) now handle integers with more than $2^{30}$ bits properly.