Properties

Label 157170bn
Number of curves $1$
Conductor $157170$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bn1")
 
E.isogeny_class()
 

Elliptic curves in class 157170bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
157170.bt1 157170bn1 \([1, 1, 1, 16474, 453539]\) \(102437538839/77137920\) \(-372330006497280\) \([]\) \(1013760\) \(1.4841\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 157170bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 157170bn do not have complex multiplication.

Modular form 157170.2.a.bn

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