Show commands:
SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 67280.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67280.p1 | 67280x1 | \([0, 0, 0, -31778867, -64400764174]\) | \(1732187934441/128000000\) | \(262273191358496768000000\) | \([]\) | \(6514560\) | \(3.2395\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67280.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67280.p do not have complex multiplication.Modular form 67280.2.a.p
sage: E.q_eigenform(10)