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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 11970bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11970.bk1 | 11970bu1 | \([1, -1, 1, 10687, 325617]\) | \(185183253170999/171032148000\) | \(-124682435892000\) | \([]\) | \(46080\) | \(1.3920\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11970bu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11970bu do not have complex multiplication.Modular form 11970.2.a.bu
sage: E.q_eigenform(10)