Properties

Label 58800.bh
Number of curves $1$
Conductor $58800$
CM no
Rank $1$

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

Elliptic curves in class 58800.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.bh1 58800g1 \([0, -1, 0, -163, 862]\) \(-501760/3\) \(-2881200\) \([]\) \(11520\) \(0.079395\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58800.bh do not have complex multiplication.

Modular form 58800.2.a.bh

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 2 q^{11} - q^{13} + 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display