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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 422331k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422331.k1 | 422331k1 | \([0, 1, 1, -5816022, -5395378894]\) | \(15957372928/17901\) | \(24407191381367044341\) | \([]\) | \(19869696\) | \(2.6341\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 422331k do not have complex multiplication.Modular form 422331.2.a.k
sage: E.q_eigenform(10)