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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 159120.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159120.bu1 | 159120ed1 | \([0, 0, 0, -1272963, -1055431262]\) | \(-152796558778456322/233895263671875\) | \(-349203757500000000000\) | \([]\) | \(4792320\) | \(2.6334\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159120.bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159120.bu do not have complex multiplication.Modular form 159120.2.a.bu
sage: E.q_eigenform(10)