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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 143745f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
143745.i1 | 143745f1 | \([1, 0, 0, -1351916, -623876859]\) | \(-106503164422201/3877233885\) | \(-9947921372614168965\) | \([]\) | \(4136832\) | \(2.4167\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 143745f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 143745f do not have complex multiplication.Modular form 143745.2.a.f
sage: E.q_eigenform(10)