Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 19881n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19881.n1 | 19881n1 | \([0, 0, 1, -245199, 17727777]\) | \(207474688/102789\) | \(807720893285931549\) | \([]\) | \(494592\) | \(2.1291\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19881n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19881n do not have complex multiplication.Modular form 19881.2.a.n
sage: E.q_eigenform(10)