Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 89232.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
89232.n1 | 89232bj1 | \([0, -1, 0, -15318216, 22970458224]\) | \(703971110401/3897234\) | \(2200644819446356647936\) | \([]\) | \(6259968\) | \(2.9381\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 89232.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 89232.n do not have complex multiplication.Modular form 89232.2.a.n
sage: E.q_eigenform(10)