Properties

Label 54910bh
Number of curves $1$
Conductor $54910$
CM no
Rank $0$

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

Elliptic curves in class 54910bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54910.bl1 54910bh1 \([1, -1, 1, -13782, 668389]\) \(-11993263569/972800\) \(-23481027123200\) \([]\) \(443520\) \(1.3118\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54910bh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 54910bh do not have complex multiplication.

Modular form 54910.2.a.bh

sage: E.q_eigenform(10)
 
\(q + q^{2} + 3 q^{3} + q^{4} + q^{5} + 3 q^{6} + 5 q^{7} + q^{8} + 6 q^{9} + q^{10} + 4 q^{11} + 3 q^{12} - q^{13} + 5 q^{14} + 3 q^{15} + q^{16} + 6 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display