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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 54910bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54910.bl1 | 54910bh1 | \([1, -1, 1, -13782, 668389]\) | \(-11993263569/972800\) | \(-23481027123200\) | \([]\) | \(443520\) | \(1.3118\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54910bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54910bh do not have complex multiplication.Modular form 54910.2.a.bh
sage: E.q_eigenform(10)