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SageMath
E = EllipticCurve("gt1")
E.isogeny_class()
Elliptic curves in class 206400.gt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206400.gt1 | 206400f1 | \([0, 1, 0, 2667, 54963]\) | \(327680/387\) | \(-2476800000000\) | \([]\) | \(299520\) | \(1.0644\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400.gt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 206400.gt do not have complex multiplication.Modular form 206400.2.a.gt
sage: E.q_eigenform(10)