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SageMath
E = EllipticCurve("cv1")
E.isogeny_class()
Elliptic curves in class 159936cv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.v1 | 159936cv1 | \([0, -1, 0, -737, -48831]\) | \(-27610184/632043\) | \(-1014828466176\) | \([]\) | \(290304\) | \(0.98456\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936cv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159936cv do not have complex multiplication.Modular form 159936.2.a.cv
sage: E.q_eigenform(10)