Show commands: SageMath
Rank
The elliptic curves in class 366912.jb have rank \(2\).
L-function data
Bad L-factors: |
| ||||||||||||||||||||||||
Good L-factors: |
| ||||||||||||||||||||||||
See L-function page for more information |
Complex multiplication
The elliptic curves in class 366912.jb do not have complex multiplication.Modular form 366912.2.a.jb
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.
\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)
Isogeny graph
The vertices are labelled with LMFDB labels.
Elliptic curves in class 366912.jb
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
366912.jb1 | 366912jb1 | \([0, 0, 0, -61740, 5905872]\) | \(-56723625/13\) | \(-5964897189888\) | \([]\) | \(983040\) | \(1.4430\) | \(\Gamma_0(N)\)-optimal |
366912.jb2 | 366912jb2 | \([0, 0, 0, 361620, -244215216]\) | \(11397810375/62748517\) | \(-28791419440226107392\) | \([]\) | \(6881280\) | \(2.4159\) |