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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 126350.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
126350.bu1 | 126350bi1 | \([1, -1, 0, -64867, -6858859]\) | \(-1026590625/100352\) | \(-2950717656320000\) | \([]\) | \(1858032\) | \(1.7093\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 126350.bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 126350.bu do not have complex multiplication.Modular form 126350.2.a.bu
sage: E.q_eigenform(10)