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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 36800.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36800.bh1 | 36800x1 | \([0, -1, 0, -433, 3737]\) | \(-562432/23\) | \(-368000000\) | \([]\) | \(16384\) | \(0.41117\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36800.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36800.bh do not have complex multiplication.Modular form 36800.2.a.bh
sage: E.q_eigenform(10)