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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 424830k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
424830.k1 | 424830k1 | \([1, 1, 0, -49006458, -132079956588]\) | \(-2239996279676393/248832000\) | \(-1445914465740573696000\) | \([]\) | \(45826560\) | \(3.0890\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424830k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 424830k do not have complex multiplication.Modular form 424830.2.a.k
sage: E.q_eigenform(10)