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SageMath
E = EllipticCurve("ix1")
E.isogeny_class()
Elliptic curves in class 159936.ix
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.ix1 | 159936bm1 | \([0, 1, 0, 1055, 6047]\) | \(10100279/6936\) | \(-89093308416\) | \([]\) | \(138240\) | \(0.78969\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.ix1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159936.ix do not have complex multiplication.Modular form 159936.2.a.ix
sage: E.q_eigenform(10)