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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 158400.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
158400.bu1 | 158400nq1 | \([0, 0, 0, -300, 10800]\) | \(-675/11\) | \(-48660480000\) | \([]\) | \(98304\) | \(0.73194\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 158400.bu1 has rank \(2\).
Complex multiplication
The elliptic curves in class 158400.bu do not have complex multiplication.Modular form 158400.2.a.bu
sage: E.q_eigenform(10)