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SageMath
E = EllipticCurve("hn1")
E.isogeny_class()
Elliptic curves in class 139650hn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.g1 | 139650hn1 | \([1, 1, 0, -35736950, 85662796500]\) | \(-21966350325866981/1088685940608\) | \(-250161742630059750000000\) | \([]\) | \(31933440\) | \(3.2510\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650hn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650hn do not have complex multiplication.Modular form 139650.2.a.hn
sage: E.q_eigenform(10)