Show commands:
SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 466578.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.p1 | 466578p1 | \([1, -1, 0, 2121991884, -25248872331824]\) | \(83228502970940543/69854999176704\) | \(-886911480053805928235842008576\) | \([]\) | \(802897920\) | \(4.4341\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 466578.p do not have complex multiplication.Modular form 466578.2.a.p
sage: E.q_eigenform(10)