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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 86394.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86394.j1 | 86394a1 | \([1, 1, 0, -98133, -9042579]\) | \(487567078009/118855296\) | \(25477688251483776\) | \([]\) | \(665280\) | \(1.8588\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86394.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 86394.j do not have complex multiplication.Modular form 86394.2.a.j
sage: E.q_eigenform(10)