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Rank
The elliptic curves in class 83582.q 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 83582.q do not have complex multiplication.Modular form 83582.2.a.q
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 83582.q
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83582.q1 | 83582q2 | \([1, 1, 1, -4772, -110717]\) | \(81182737/12482\) | \(1847783966498\) | \([2]\) | \(152064\) | \(1.0773\) | |
83582.q2 | 83582q1 | \([1, 1, 1, 518, -9149]\) | \(103823/316\) | \(-46779340924\) | \([2]\) | \(76032\) | \(0.73071\) | \(\Gamma_0(N)\)-optimal |