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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 485520co
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485520.co1 | 485520co1 | \([0, -1, 0, -9194920, 10734806320]\) | \(-72628961394279272329/24608375505\) | \(-29130016853790720\) | \([]\) | \(12856320\) | \(2.5163\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485520co1 has rank \(1\).
Complex multiplication
The elliptic curves in class 485520co do not have complex multiplication.Modular form 485520.2.a.co
sage: E.q_eigenform(10)