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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 9016.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9016.n1 | 9016j1 | \([0, 0, 0, 1196825, 12764985443]\) | \(100718081964000000/37453512751940327\) | \(-70501893148048440499568\) | \([]\) | \(1175040\) | \(3.0633\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9016.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9016.n do not have complex multiplication.Modular form 9016.2.a.n
sage: E.q_eigenform(10)