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SageMath
E = EllipticCurve("fj1")
E.isogeny_class()
Elliptic curves in class 489762.fj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
489762.fj1 | 489762fj1 | \([1, -1, 1, 13834984, -13295304421]\) | \(83228502970940543/69854999176704\) | \(-245801842527687336543744\) | \([]\) | \(71089920\) | \(3.1759\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 489762.fj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 489762.fj do not have complex multiplication.Modular form 489762.2.a.fj
sage: E.q_eigenform(10)