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SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 155526.ck
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155526.ck1 | 155526b1 | \([1, 0, 0, -70039082, -217012193196]\) | \(4124146838737/178564176\) | \(1645149092565071515204944\) | \([]\) | \(33067008\) | \(3.4103\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155526.ck1 has rank \(1\).
Complex multiplication
The elliptic curves in class 155526.ck do not have complex multiplication.Modular form 155526.2.a.ck
sage: E.q_eigenform(10)