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SageMath
E = EllipticCurve("ix1")
E.isogeny_class()
Elliptic curves in class 206400ix
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206400.f1 | 206400ix1 | \([0, -1, 0, -1800033, -928941813]\) | \(-645008376471556096/783675\) | \(-783675000000\) | \([]\) | \(2211840\) | \(1.9938\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400ix1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206400ix do not have complex multiplication.Modular form 206400.2.a.ix
sage: E.q_eigenform(10)