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Rank
The elliptic curves in class 292410.bu 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 292410.bu do not have complex multiplication.Modular form 292410.2.a.bu
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.
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
The vertices are labelled with LMFDB labels.
Elliptic curves in class 292410.bu
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
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292410.bu1 | 292410bu1 | \([1, -1, 1, -8732, -505169]\) | \(-2146689/2000\) | \(-68592894498000\) | \([]\) | \(995328\) | \(1.3515\) | \(\Gamma_0(N)\)-optimal |
292410.bu2 | 292410bu2 | \([1, -1, 1, 72493, 8657011]\) | \(15166431/20480\) | \(-56893690412421120\) | \([]\) | \(2985984\) | \(1.9008\) |