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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 63536bo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 63536.k1 | 63536bo1 | \([0, -1, 0, 381096, -14311952]\) | \(31764658463/18833408\) | \(-3629196376442667008\) | \([]\) | \(898560\) | \(2.2506\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63536bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63536bo do not have complex multiplication.Modular form 63536.2.a.bo
sage: E.q_eigenform(10)