Properties

Label 57222.bh
Number of curves $1$
Conductor $57222$
CM no
Rank $0$

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

Elliptic curves in class 57222.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
57222.bh1 57222bo1 \([1, -1, 1, -4282601, 3412660767]\) \(-1708156114633/215622\) \(-1096508416017667158\) \([]\) \(1527552\) \(2.4837\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 57222.bh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 57222.bh do not have complex multiplication.

Modular form 57222.2.a.bh

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 2 q^{5} - 2 q^{7} + q^{8} - 2 q^{10} - q^{11} + 3 q^{13} - 2 q^{14} + q^{16} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display