Invariants
Level: | -level: | ||||||
Index: | -index: | ||||||
Genus: | |||||||
Cusps: | (none of which are rational) | Cusp widths | Cusp orbits | ||||
Elliptic points: | of order and of order | ||||||
-gonality: | |||||||
-gonality: | |||||||
Rational cusps: | |||||||
Rational CM points: | none |
Other labels
Cummins and Pauli (CP) label: | 8N0 |
Rouse and Zureick-Brown (RZB) label: | X239c |
Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 32.96.0.104 |
Level structure
-generators: | , |
Contains : | no (see 32.48.0.c.1 for the level structure with ) |
Cyclic 32-isogeny field degree: | |
Cyclic 32-torsion field degree: | |
Full 32-torsion field degree: |
Models
This modular curve is isomorphic to .
Rational points
This modular curve has infinitely many rational points, including 2 stored non-cuspidal points.
Maps to other modular curves
-invariant map of degree 48 to the modular curve :
Modular covers
This modular curve minimally covers the modular curves listed below.
Covered curve | Level | Index | Degree | Genus | Rank |
---|---|---|---|---|---|
16.48.0-16.c.1.4 | |||||
32.48.0-16.c.1.1 |
This modular curve is minimally covered by the modular curves in the database listed below.
Covering curve | Level | Index | Degree | Genus |
---|---|---|---|---|
96.288.8-96.i.1.11 | ||||
96.384.7-96.dg.1.16 | ||||
160.480.16-160.i.1.8 |