Show commands: SageMath
Rank
The elliptic curves in class 198550p 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 198550p do not have complex multiplication.Modular form 198550.2.a.p
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.
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
The vertices are labelled with Cremona labels.
Elliptic curves in class 198550p
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
198550.cd2 | 198550p1 | \([1, 1, 1, 90062, 42032031]\) | \(109902239/1100000\) | \(-808601079687500000\) | \([]\) | \(3240000\) | \(2.1173\) | \(\Gamma_0(N)\)-optimal |
198550.cd1 | 198550p2 | \([1, 1, 1, -53608688, 151055552031]\) | \(-23178622194826561/1610510\) | \(-1183872840770468750\) | \([]\) | \(16200000\) | \(2.9220\) |