Show commands: SageMath
Rank
The elliptic curves in class 210210.fj 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 210210.fj do not have complex multiplication.Modular form 210210.2.a.fj
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 210210.fj
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
210210.fj1 | 210210b2 | \([1, 0, 0, -929160, 144350100]\) | \(258643243112232038887/123406016912392500\) | \(42328263800950627500\) | \([2]\) | \(6488064\) | \(2.4599\) | |
210210.fj2 | 210210b1 | \([1, 0, 0, 208340, 17177600]\) | \(2915730912690561113/2058226706250000\) | \(-705971760243750000\) | \([2]\) | \(3244032\) | \(2.1133\) | \(\Gamma_0(N)\)-optimal |