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Rank
The elliptic curves in class 134064.cx 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 134064.cx do not have complex multiplication.Modular form 134064.2.a.cx
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 LMFDB numbering.
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
The vertices are labelled with LMFDB labels.
Elliptic curves in class 134064.cx
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134064.cx1 | 134064ft1 | \([0, 0, 0, -6615, 129654]\) | \(54000/19\) | \(11263493138688\) | \([2]\) | \(147456\) | \(1.2057\) | \(\Gamma_0(N)\)-optimal |
134064.cx2 | 134064ft2 | \([0, 0, 0, 19845, 907578]\) | \(364500/361\) | \(-856025478540288\) | \([2]\) | \(294912\) | \(1.5522\) |