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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 165675.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 165675.bb1 | 165675bf1 | \([0, -1, 1, -681108, -81846007]\) | \(207474688/102789\) | \(17312261944571578125\) | \([]\) | \(6676992\) | \(2.3845\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 165675.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 165675.bb do not have complex multiplication.Modular form 165675.2.a.bb
sage: E.q_eigenform(10)