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SageMath
E = EllipticCurve("fi1")
E.isogeny_class()
Elliptic curves in class 139650.fi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.fi1 | 139650fa1 | \([1, 1, 1, 13594412, 14104165781]\) | \(3084612735152711/2738367406080\) | \(-246658486889646720000000\) | \([]\) | \(15724800\) | \(3.1760\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.fi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650.fi do not have complex multiplication.Modular form 139650.2.a.fi
sage: E.q_eigenform(10)