Properties

Label 221760lb
Number of curves $1$
Conductor $221760$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("lb1")
 
E.isogeny_class()
 

Elliptic curves in class 221760lb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
221760.ea1 221760lb1 \([0, 0, 0, -206688, -36177248]\) \(-81756451446784/24958395\) \(-298101472542720\) \([]\) \(1105920\) \(1.7545\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 221760lb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 221760lb do not have complex multiplication.

Modular form 221760.2.a.lb

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} - q^{11} - 2 q^{13} + 7 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display