Properties

Label 86190.bp
Number of curves $1$
Conductor $86190$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bp1")
 
E.isogeny_class()
 

Elliptic curves in class 86190.bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
86190.bp1 86190br1 \([1, 1, 1, 354, -24471]\) \(29024858759/1566018750\) \(-264657168750\) \([]\) \(122880\) \(0.87149\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 86190.bp1 has rank \(0\).

Complex multiplication

The elliptic curves in class 86190.bp do not have complex multiplication.

Modular form 86190.2.a.bp

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - 2 q^{7} + q^{8} + q^{9} - q^{10} + 5 q^{11} - q^{12} - 2 q^{14} + q^{15} + q^{16} - q^{17} + q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display