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SageMath
E = EllipticCurve("ge1")
E.isogeny_class()
Elliptic curves in class 206400.ge
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206400.ge1 | 206400fm1 | \([0, 1, 0, -51583, 4636463]\) | \(-607172247040/22851963\) | \(-571299075000000\) | \([]\) | \(806400\) | \(1.6019\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400.ge1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206400.ge do not have complex multiplication.Modular form 206400.2.a.ge
sage: E.q_eigenform(10)