Properties

Label 67760bg
Number of curves $1$
Conductor $67760$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("bg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 67760bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
67760.a1 67760bg1 [0, 0, 0, 3872, 282172] [] 285600 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67760bg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 67760bg do not have complex multiplication.

Modular form 67760.2.a.bg

sage: E.q_eigenform(10)
 
\( q - 3q^{3} - q^{5} - q^{7} + 6q^{9} + 3q^{13} + 3q^{15} + q^{17} + 6q^{19} + O(q^{20}) \)