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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 15210.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15210.bu1 | 15210br1 | \([1, -1, 1, -24731492, -47813246841]\) | \(-2813198004118489/33177600000\) | \(-19729646937837158400000\) | \([]\) | \(1697280\) | \(3.0906\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15210.bu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15210.bu do not have complex multiplication.Modular form 15210.2.a.bu
sage: E.q_eigenform(10)