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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 85800bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85800.k1 | 85800bu1 | \([0, -1, 0, 4192, -26388]\) | \(254527054/155727\) | \(-4983264000000\) | \([]\) | \(186624\) | \(1.1256\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85800bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 85800bu do not have complex multiplication.Modular form 85800.2.a.bu
sage: E.q_eigenform(10)