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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 162450.co
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162450.co1 | 162450el1 | \([1, -1, 0, -3873417, 3134057741]\) | \(-11993263569/972800\) | \(-521305998184800000000\) | \([]\) | \(10644480\) | \(2.7215\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162450.co1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162450.co do not have complex multiplication.Modular form 162450.2.a.co
sage: E.q_eigenform(10)