Properties

Label 163254.bh
Number of curves $1$
Conductor $163254$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("bh1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 163254.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
163254.bh1 163254ca1 \([1, 0, 1, 1537220, 492418682]\) \(83228502970940543/69854999176704\) \(-337176738721107457536\) \([]\) \(8886240\) \(2.6266\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 163254.bh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 163254.bh do not have complex multiplication.

Modular form 163254.2.a.bh

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