Properties

Label 285912.bh
Number of curves $1$
Conductor $285912$
CM no
Rank $1$

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

Elliptic curves in class 285912.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
285912.bh1 285912bh1 \([0, 0, 0, -896724, 347422068]\) \(-336393216/25289\) \(-5994935570165490432\) \([]\) \(3732480\) \(2.3516\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 285912.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 285912.bh do not have complex multiplication.

Modular form 285912.2.a.bh

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} - q^{11} + q^{13} - q^{17} + O(q^{20})\) Copy content Toggle raw display