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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 485520k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485520.k1 | 485520k1 | \([0, -1, 0, -1456, -23744]\) | \(-288568081/47250\) | \(-55931904000\) | \([]\) | \(466560\) | \(0.78975\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485520k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 485520k do not have complex multiplication.Modular form 485520.2.a.k
sage: E.q_eigenform(10)