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SageMath
E = EllipticCurve("oo1")
E.isogeny_class()
Elliptic curves in class 187200oo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187200.df1 | 187200oo1 | \([0, 0, 0, 270, 1350]\) | \(13824/13\) | \(-2047032000\) | \([]\) | \(79872\) | \(0.47382\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200oo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 187200oo do not have complex multiplication.Modular form 187200.2.a.oo
sage: E.q_eigenform(10)