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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 39984.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39984.u1 | 39984cf1 | \([0, -1, 0, -3796, 33244]\) | \(482370434896/243931419\) | \(3059875719936\) | \([]\) | \(60480\) | \(1.0883\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39984.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 39984.u do not have complex multiplication.Modular form 39984.2.a.u
sage: E.q_eigenform(10)