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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 266805.cf
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 266805.cf1 | 266805cf1 | \([0, 0, 1, -7008078, -23081281281]\) | \(-250523582464/1369738755\) | \(-208117990123170620263155\) | \([]\) | \(18432000\) | \(3.1584\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 266805.cf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 266805.cf do not have complex multiplication.Modular form 266805.2.a.cf
sage: E.q_eigenform(10)