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SageMath
E = EllipticCurve("hf1")
E.isogeny_class()
Elliptic curves in class 430950.hf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
430950.hf1 | 430950hf1 | \([1, 0, 0, -25865597963, -1601461149857583]\) | \(-150149688795910040658889/33589356396300000\) | \(-428122967360621261442187500000\) | \([]\) | \(1308902400\) | \(4.6786\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950.hf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 430950.hf do not have complex multiplication.Modular form 430950.2.a.hf
sage: E.q_eigenform(10)