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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 234416bz
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 234416.bz1 | 234416bz1 | \([0, -1, 0, -11539304457, -477105059934523]\) | \(5642017163771722268092767232/570626054098424597\) | \(17186197667488142185587968\) | \([]\) | \(228096000\) | \(4.2731\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234416bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 234416bz do not have complex multiplication.Modular form 234416.2.a.bz
sage: E.q_eigenform(10)