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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 491970bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
491970.bh1 | 491970bh1 | \([1, 0, 1, -5501995968, -162780420318194]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-787243712031462300721348608000\) | \([]\) | \(1104071760\) | \(4.5026\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 491970bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 491970bh do not have complex multiplication.Modular form 491970.2.a.bh
sage: E.q_eigenform(10)