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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 56550.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56550.k1 | 56550c1 | \([1, 1, 0, -1609790, -786814860]\) | \(-18454054577038909003345/243154649088\) | \(-6078866227200\) | \([]\) | \(758160\) | \(2.0113\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56550.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 56550.k do not have complex multiplication.Modular form 56550.2.a.k
sage: E.q_eigenform(10)