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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 2790.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2790.u1 | 2790u1 | \([1, -1, 1, 877, -5709]\) | \(102437538839/77137920\) | \(-56233543680\) | \([]\) | \(3520\) | \(0.75090\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2790.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2790.u do not have complex multiplication.Modular form 2790.2.a.u
sage: E.q_eigenform(10)