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SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 188760ck
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 188760.d1 | 188760ck1 | \([0, -1, 0, 343479, -3490038099]\) | \(9881592513536/11607361886835\) | \(-5264166305690444655360\) | \([]\) | \(13824000\) | \(2.8469\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 188760ck1 has rank \(1\).
Complex multiplication
The elliptic curves in class 188760ck do not have complex multiplication.Modular form 188760.2.a.ck
sage: E.q_eigenform(10)