Show commands: SageMath
Rank
The elliptic curves in class 14976.x 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 14976.x do not have complex multiplication.Modular form 14976.2.a.x
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 14976.x
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14976.x1 | 14976c2 | \([0, 0, 0, -120, -288]\) | \(432000/169\) | \(74760192\) | \([2]\) | \(4096\) | \(0.20949\) | |
14976.x2 | 14976c1 | \([0, 0, 0, -105, -414]\) | \(37044000/13\) | \(44928\) | \([2]\) | \(2048\) | \(-0.13709\) | \(\Gamma_0(N)\)-optimal |