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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 16650s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16650.q1 | 16650s1 | \([1, -1, 0, -17172, 870426]\) | \(30727911305065/161838\) | \(2949497550\) | \([]\) | \(34944\) | \(1.0128\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16650s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16650s do not have complex multiplication.Modular form 16650.2.a.s
sage: E.q_eigenform(10)