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Rank
The elliptic curves in class 101568p have rank \(1\).
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 101568p do not have complex multiplication.Modular form 101568.2.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.
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
The vertices are labelled with Cremona labels.
Elliptic curves in class 101568p
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101568.cv2 | 101568p1 | \([0, 1, 0, -6154033, -5930455441]\) | \(-10627137250000/110008287\) | \(-266816300046944550912\) | \([2]\) | \(3784704\) | \(2.7371\) | \(\Gamma_0(N)\)-optimal |
101568.cv1 | 101568p2 | \([0, 1, 0, -98707873, -377497101505]\) | \(10963069081334500/1156923\) | \(11224096755518472192\) | \([2]\) | \(7569408\) | \(3.0836\) |