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Rank
The elliptic curves in class 103488.bx 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 103488.bx do not have complex multiplication.Modular form 103488.2.a.bx
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 103488.bx
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
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103488.bx1 | 103488fe2 | \([0, -1, 0, -227873, -25786431]\) | \(14553591673375/5208653241\) | \(468338097956585472\) | \([2]\) | \(1310720\) | \(2.0915\) | |
103488.bx2 | 103488fe1 | \([0, -1, 0, 43167, -2856447]\) | \(98931640625/96059601\) | \(-8637236679278592\) | \([2]\) | \(655360\) | \(1.7450\) | \(\Gamma_0(N)\)-optimal |