Properties

Label 4704.bh
Number of curves $1$
Conductor $4704$
CM no
Rank $0$

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

Elliptic curves in class 4704.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4704.bh1 4704bh1 \([0, 1, 0, 19, 27]\) \(3584/3\) \(-602112\) \([]\) \(960\) \(-0.20329\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4704.bh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4704.bh do not have complex multiplication.

Modular form 4704.2.a.bh

sage: E.q_eigenform(10)
 
\(q + q^{3} + 4 q^{5} + q^{9} + 6 q^{11} - 5 q^{13} + 4 q^{15} - 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display