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SageMath
E = EllipticCurve("fv1")
E.isogeny_class()
Elliptic curves in class 482790.fv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
482790.fv1 | 482790fv1 | \([1, 1, 1, 143685, 16243305]\) | \(185183253170999/171032148000\) | \(-302993883143028000\) | \([]\) | \(6854400\) | \(2.0416\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 482790.fv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 482790.fv do not have complex multiplication.Modular form 482790.2.a.fv
sage: E.q_eigenform(10)