Show commands: SageMath
Rank
The elliptic curves in class 91728da have rank \(0\).
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 91728da do not have complex multiplication.Modular form 91728.2.a.da
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 91728da
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91728.gg2 | 91728da1 | \([0, 0, 0, -48363, -2857190]\) | \(2803221/832\) | \(3713038039646208\) | \([2]\) | \(645120\) | \(1.6931\) | \(\Gamma_0(N)\)-optimal |
91728.gg1 | 91728da2 | \([0, 0, 0, -706923, -228743270]\) | \(8754552981/1352\) | \(6033686814425088\) | \([2]\) | \(1290240\) | \(2.0397\) |