Show commands:
SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 142296bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142296.cj1 | 142296bz1 | \([0, 1, 0, 92888, -25956064]\) | \(50250332/194481\) | \(-343033169683792896\) | \([]\) | \(1474560\) | \(2.0475\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142296bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 142296bz do not have complex multiplication.Modular form 142296.2.a.bz
sage: E.q_eigenform(10)