Show commands: SageMath
Rank
The elliptic curves in class 5160h have rank \(1\).
L-function data
Bad L-factors: |
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Good L-factors: |
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See L-function page for more information |
Complex multiplication
The elliptic curves in class 5160h do not have complex multiplication.Modular form 5160.2.a.h
Isogeny matrix
The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the Cremona numbering.
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
The vertices are labelled with Cremona labels.
Elliptic curves in class 5160h
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5160.e1 | 5160h1 | \([0, -1, 0, -36, -60]\) | \(20720464/3225\) | \(825600\) | \([2]\) | \(768\) | \(-0.14150\) | \(\Gamma_0(N)\)-optimal |
5160.e2 | 5160h2 | \([0, -1, 0, 64, -420]\) | \(27871484/83205\) | \(-85201920\) | \([2]\) | \(1536\) | \(0.20507\) |