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SageMath
E = EllipticCurve("ib1")
E.isogeny_class()
Elliptic curves in class 177450ib
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 177450.f1 | 177450ib1 | \([1, 1, 0, -911770720, 10596464972800]\) | \(-23479952552602029266866733/50341110349824\) | \(-179724056587665408000\) | \([]\) | \(60173568\) | \(3.5611\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177450ib1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177450ib do not have complex multiplication.Modular form 177450.2.a.ib
sage: E.q_eigenform(10)