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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 10944bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10944.v1 | 10944bu1 | \([0, 0, 0, 42, 394]\) | \(175616/1539\) | \(-71803584\) | \([]\) | \(2048\) | \(0.18876\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10944bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10944bu do not have complex multiplication.Modular form 10944.2.a.bu
sage: E.q_eigenform(10)