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SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 216384ck
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
216384.e1 | 216384ck1 | \([0, -1, 0, -270405, -77748579]\) | \(-389094786976768/240588123669\) | \(-1352035965640163328\) | \([]\) | \(4386816\) | \(2.1808\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216384ck1 has rank \(0\).
Complex multiplication
The elliptic curves in class 216384ck do not have complex multiplication.Modular form 216384.2.a.ck
sage: E.q_eigenform(10)