Properties

Label 165620.bf
Number of curves $1$
Conductor $165620$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 165620.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
165620.bf1 165620bg1 \([0, 0, 0, -1183, 30758]\) \(-3024/5\) \(-302737460480\) \([]\) \(276480\) \(0.89389\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 165620.bf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 165620.bf do not have complex multiplication.

Modular form 165620.2.a.bf

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - q^{5} + 6 q^{9} + 2 q^{11} - 3 q^{15} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display