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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 206910.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206910.t1 | 206910ek1 | \([1, -1, 0, -51750, 26201236]\) | \(-11867954041/222543200\) | \(-287407414518760800\) | \([]\) | \(2304000\) | \(2.0310\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206910.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 206910.t do not have complex multiplication.Modular form 206910.2.a.t
sage: E.q_eigenform(10)