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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 162288bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.ed1 | 162288bz1 | \([0, 0, 0, -15267, -6336862]\) | \(-2689684081/117006336\) | \(-17119573312536576\) | \([]\) | \(718848\) | \(1.7950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288bz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162288bz do not have complex multiplication.Modular form 162288.2.a.bz
sage: E.q_eigenform(10)