Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 143745.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
143745.n1 | 143745u1 | \([0, -1, 1, -46891, 3923922]\) | \(8329098721263616/4725\) | \(6468525\) | \([]\) | \(224640\) | \(1.0681\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 143745.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 143745.n do not have complex multiplication.Modular form 143745.2.a.n
sage: E.q_eigenform(10)