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SageMath
E = EllipticCurve("oj1")
E.isogeny_class()
Elliptic curves in class 100800.oj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100800.oj1 | 100800hy1 | \([0, 0, 0, -36000, -2700000]\) | \(-221184/7\) | \(-163296000000000\) | \([]\) | \(322560\) | \(1.5034\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800.oj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100800.oj do not have complex multiplication.Modular form 100800.2.a.oj
sage: E.q_eigenform(10)