Invariants
Level: | -level: | Newform level: | |||||
Index: | -index: | ||||||
Genus: | |||||||
Cusps: | (none of which are rational) | Cusp widths | Cusp orbits | ||||
Elliptic points: | of order and of order | ||||||
Analytic rank: | |||||||
-gonality: | |||||||
-gonality: | |||||||
Rational cusps: | |||||||
Rational CM points: | yes ) |
Other labels
Cummins and Pauli (CP) label: | 28B8 |
Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 28.168.8.2 |
Level structure
-generators: | , , |
Contains : | yes |
Quadratic refinements: | none in database |
Cyclic 28-isogeny field degree: | |
Cyclic 28-torsion field degree: | |
Full 28-torsion field degree: |
Jacobian
Conductor: | |
Simple: | no |
Squarefree: | yes |
Decomposition: | |
Newforms: | 196.2.a.a, 784.2.a.a, 784.2.a.b, 784.2.a.f, 784.2.a.g, 784.2.a.h, 784.2.a.k |
Models
Canonical model in defined by 15 equations
Rational points
This modular curve has 4 rational CM points but no rational cusps or other known rational points.
Maps between models of this curve
Birational map from canonical model to plane model:
Maps to other modular curves
Map of degree 2 from the canonical model of this modular curve to the canonical model of the modular curve 28.84.4.a.1 :
Equation of the image curve:
Modular covers
Cover information
Click on a modular curve in the diagram to see information about it.
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This modular curve minimally covers the modular curves listed below.
Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
---|---|---|---|---|---|---|
28.84.4.a.1 |
This modular curve is minimally covered by the modular curves in the database listed below.
Covering curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
---|---|---|---|---|---|---|
28.336.23.d.1 | ||||||
28.336.23.n.1 | ||||||
28.336.23.p.1 | ||||||
28.504.30.o.1 | ||||||
56.336.23.c.1 | ||||||
56.336.23.l.1 | ||||||
56.336.23.bp.1 | ||||||
56.336.23.bv.1 | ||||||
84.336.23.bz.1 | not computed | |||||
84.336.23.cb.1 | not computed | |||||
84.336.23.dz.1 | not computed | |||||
84.336.23.eb.1 | not computed | |||||
140.336.23.v.1 | not computed | |||||
140.336.23.x.1 | not computed | |||||
140.336.23.bt.1 | not computed | |||||
140.336.23.bv.1 | not computed | |||||
168.336.23.gr.1 | not computed | |||||
168.336.23.gx.1 | not computed | |||||
168.336.23.nl.1 | not computed | |||||
168.336.23.nr.1 | not computed | |||||
280.336.23.cn.1 | not computed | |||||
280.336.23.ct.1 | not computed | |||||
280.336.23.fh.1 | not computed | |||||
280.336.23.fn.1 | not computed | |||||
308.336.23.br.1 | not computed | |||||
308.336.23.bt.1 | not computed | |||||
308.336.23.bv.1 | not computed | |||||
308.336.23.bx.1 | not computed |