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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 159936.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.w1 | 159936ig1 | \([0, -1, 0, -86977, -9848159]\) | \(-6474376070072/3011499\) | \(-33847514136576\) | \([]\) | \(698368\) | \(1.5524\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159936.w do not have complex multiplication.Modular form 159936.2.a.w
sage: E.q_eigenform(10)