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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 116610n
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 116610.j1 | 116610n1 | \([1, 1, 0, -10641922567, 5116481410452469]\) | \(-163394403591571250500579801/13769185517425059840000000\) | \(-11231947629711902126751344640000000\) | \([]\) | \(911269632\) | \(5.2133\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116610n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116610n do not have complex multiplication.Modular form 116610.2.a.n
sage: E.q_eigenform(10)