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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 36225bu
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 36225.bh1 | 36225bu1 | \([0, 0, 1, 6562950, 14561260906]\) | \(2744564518708084736/9629735831296875\) | \(-109688709703365966796875\) | \([]\) | \(1797120\) | \(3.1040\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36225bu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36225bu do not have complex multiplication.Modular form 36225.2.a.bu
sage: E.q_eigenform(10)