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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)