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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 4998.bk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 4998.bk1 | 4998bk1 | \([1, 0, 0, 188019, -400272111]\) | \(15001431500460925919/1421324083670155776\) | \(-69644880099837633024\) | \([]\) | \(190080\) | \(2.4869\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4998.bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4998.bk do not have complex multiplication.Modular form 4998.2.a.bk
sage: E.q_eigenform(10)