Show commands:
SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 212160.de
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212160.de1 | 212160gr1 | \([0, -1, 0, 935, 186337]\) | \(88184857856/14748186375\) | \(-15102142848000\) | \([]\) | \(460800\) | \(1.2081\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212160.de1 has rank \(1\).
Complex multiplication
The elliptic curves in class 212160.de do not have complex multiplication.Modular form 212160.2.a.de
sage: E.q_eigenform(10)