Show commands:
SageMath
E = EllipticCurve("oj1")
E.isogeny_class()
Elliptic curves in class 141120.oj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.oj1 | 141120kv1 | \([0, 0, 0, -28812, -2266544]\) | \(-19208/5\) | \(-688544141967360\) | \([]\) | \(451584\) | \(1.5641\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120.oj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141120.oj do not have complex multiplication.Modular form 141120.2.a.oj
sage: E.q_eigenform(10)