Properties

Label 99450.bg
Number of curves $1$
Conductor $99450$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 99450.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
99450.bg1 99450q1 \([1, -1, 0, 860058, 134284716]\) \(6176736766011239/4260587175000\) \(-48530750790234375000\) \([]\) \(2764800\) \(2.4660\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 99450.bg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 99450.bg do not have complex multiplication.

Modular form 99450.2.a.bg

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 2 q^{7} - q^{8} - 5 q^{11} - q^{13} - 2 q^{14} + q^{16} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display