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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 160446n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160446.bt1 | 160446n1 | \([1, 0, 0, 663, -98163]\) | \(18191447/2362932\) | \(-4186078176852\) | \([]\) | \(288000\) | \(1.1012\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 160446n do not have complex multiplication.Modular form 160446.2.a.n
sage: E.q_eigenform(10)