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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 479808u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
479808.u1 | 479808u1 | \([0, 0, 0, -594017004, 5572444750544]\) | \(1717641340122148/3011499\) | \(40641579901815028383744\) | \([]\) | \(113541120\) | \(3.5976\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808u1 has rank \(2\).
Complex multiplication
The elliptic curves in class 479808u do not have complex multiplication.Modular form 479808.2.a.u
sage: E.q_eigenform(10)