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SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 201810ck
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
201810.j1 | 201810ck1 | \([1, 1, 0, -5133387, 4467762621]\) | \(15567270647479432024441/27184199588904960\) | \(26124015804937666560\) | \([]\) | \(8467200\) | \(2.6193\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 201810ck1 has rank \(1\).
Complex multiplication
The elliptic curves in class 201810ck do not have complex multiplication.Modular form 201810.2.a.ck
sage: E.q_eigenform(10)