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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 177450bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177450.ih1 | 177450bp1 | \([1, 0, 0, -3063213, 1445170167]\) | \(249395415529/73513818\) | \(936991871259418406250\) | \([]\) | \(10483200\) | \(2.7299\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177450bp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177450bp do not have complex multiplication.Modular form 177450.2.a.bp
sage: E.q_eigenform(10)