Properties

Label 445280.bq
Number of curves $1$
Conductor $445280$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bq1")
 
E.isogeny_class()
 

Elliptic curves in class 445280.bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
445280.bq1 445280bq1 \([0, 0, 0, -136363612, -612908803936]\) \(-319387394710714176/1399205\) \(-1228521546095022080\) \([]\) \(57987072\) \(3.0996\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 445280.bq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 445280.bq do not have complex multiplication.

Modular form 445280.2.a.bq

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + q^{5} + q^{7} + 6 q^{9} + 4 q^{13} + 3 q^{15} + O(q^{20})\) Copy content Toggle raw display