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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 64400.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64400.bu1 | 64400w1 | \([0, 1, 0, -3473, -197317]\) | \(-144814859264/435654247\) | \(-13940935904000\) | \([]\) | \(103936\) | \(1.2089\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400.bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 64400.bu do not have complex multiplication.Modular form 64400.2.a.bu
sage: E.q_eigenform(10)