Label | |

- Case
**A**until level - Case
**AE**until level - Case
**EEE**until level (the highest level in Cremona's tables).

- Case **A**:
is
-simple. Then
, with
.

- Case **AE**:
, where is an elliptic curve over of conductor and is a
-simple abelian surface such that
where
with
.

- Case **EEE**:
, where
are elliptic curves defined over
of conductor .

This table appears in:

- Enrique González-Jiménez, Roger Oyono, "Non-hyperelliptic modular curves of genus 3". Journal of Number Theory 130, no. 4, 862-878 (2010).