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SageMath
E = EllipticCurve("gh1")
E.isogeny_class()
Elliptic curves in class 442176gh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
442176.gh1 | 442176gh1 | \([0, 1, 0, -2417, -18159]\) | \(207474688/102789\) | \(773953475904\) | \([]\) | \(739200\) | \(0.97426\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 442176gh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 442176gh do not have complex multiplication.Modular form 442176.2.a.gh
sage: E.q_eigenform(10)