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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 172480bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
172480.dt1 | 172480bu1 | \([0, 0, 0, 28, 56]\) | \(48384/55\) | \(-2759680\) | \([]\) | \(23040\) | \(-0.077704\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 172480bu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 172480bu do not have complex multiplication.Modular form 172480.2.a.bu
sage: E.q_eigenform(10)