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SageMath
E = EllipticCurve("hf1")
E.isogeny_class()
Elliptic curves in class 426888hf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.hf1 | 426888hf1 | \([0, 0, 0, -79205511, 271340845083]\) | \(-610325920583424/55240493\) | \(-4973769372247089354864\) | \([]\) | \(44236800\) | \(3.2027\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888hf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 426888hf do not have complex multiplication.Modular form 426888.2.a.hf
sage: E.q_eigenform(10)