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SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 17472ck
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17472.e1 | 17472ck1 | \([0, -1, 0, -6430977, 6315217569]\) | \(-112205650221491190337/745029571313664\) | \(-195305031942449135616\) | \([]\) | \(913920\) | \(2.7290\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17472ck1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17472ck do not have complex multiplication.Modular form 17472.2.a.ck
sage: E.q_eigenform(10)