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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 145794.bk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 145794.bk1 | 145794e1 | \([1, 0, 0, -119601933, -501994267119]\) | \(7946125960476625/26716428288\) | \(636152532543948668295168\) | \([]\) | \(31764480\) | \(3.4317\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145794.bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 145794.bk do not have complex multiplication.Modular form 145794.2.a.bk
sage: E.q_eigenform(10)