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SageMath
E = EllipticCurve("fh1")
E.isogeny_class()
Elliptic curves in class 227136.fh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227136.fh1 | 227136ep1 | \([0, 1, 0, -216504097, -1372148819521]\) | \(-20994006260678308/3063651608241\) | \(-163781983291522447557328896\) | \([]\) | \(95846400\) | \(3.7604\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227136.fh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227136.fh do not have complex multiplication.Modular form 227136.2.a.fh
sage: E.q_eigenform(10)