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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 5400.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5400.bu1 | 5400p1 | \([0, 0, 0, -4575, -124125]\) | \(-1568892672/78125\) | \(-527343750000\) | \([]\) | \(8064\) | \(1.0104\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5400.bu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5400.bu do not have complex multiplication.Modular form 5400.2.a.bu
sage: E.q_eigenform(10)