Show commands: SageMath
Rank
The elliptic curves in class 283140w have rank \(1\).
L-function data
Bad L-factors: |
| |||||||||||||||||||||
Good L-factors: |
| |||||||||||||||||||||
See L-function page for more information |
Complex multiplication
The elliptic curves in class 283140w do not have complex multiplication.Modular form 283140.2.a.w
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 283140w
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
283140.w2 | 283140w1 | \([0, 0, 0, -104412, 12985841]\) | \(8108665585664/78975\) | \(1226069816400\) | \([2]\) | \(1105920\) | \(1.4804\) | \(\Gamma_0(N)\)-optimal |
283140.w1 | 283140w2 | \([0, 0, 0, -106887, 12337886]\) | \(543691854704/49896405\) | \(12394094560024320\) | \([2]\) | \(2211840\) | \(1.8270\) |