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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 160816.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160816.u1 | 160816bq1 | \([0, -1, 0, -4408, -159856]\) | \(-31250/19\) | \(-5760372512768\) | \([]\) | \(202400\) | \(1.1506\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160816.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 160816.u do not have complex multiplication.Modular form 160816.2.a.u
sage: E.q_eigenform(10)