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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 190608bz
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 190608.bd1 | 190608bz1 | \([0, -1, 0, 2700160, -3002115456]\) | \(1647212741/3897234\) | \(-5151086457512113299456\) | \([]\) | \(8828160\) | \(2.8501\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190608bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190608bz do not have complex multiplication.Modular form 190608.2.a.bz
sage: E.q_eigenform(10)