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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 422331.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422331.i1 | 422331i1 | \([0, 1, 1, 2966450184, -532512251582398]\) | \(177997182325354496/7656065368994259\) | \(-124173063559026251250837364631259\) | \([]\) | \(1736616960\) | \(4.8381\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 422331.i do not have complex multiplication.Modular form 422331.2.a.i
sage: E.q_eigenform(10)