Show commands: SageMath
Rank
The elliptic curves in class 128700.b 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 128700.b do not have complex multiplication.Modular form 128700.2.a.b
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 128700.b
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
128700.b1 | 128700bo2 | \([0, 0, 0, -51375, 2443750]\) | \(41141648/16731\) | \(6098449500000000\) | \([2]\) | \(675840\) | \(1.7266\) | |
128700.b2 | 128700bo1 | \([0, 0, 0, 10500, 278125]\) | \(5619712/4719\) | \(-107504718750000\) | \([2]\) | \(337920\) | \(1.3801\) | \(\Gamma_0(N)\)-optimal |