Properties

Label 2790.u
Number of curves $1$
Conductor $2790$
CM no
Rank $1$

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Show commands: 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)
 
\(q + q^{2} + q^{4} - q^{5} + 3 q^{7} + q^{8} - q^{10} - 3 q^{11} - 2 q^{13} + 3 q^{14} + q^{16} - 8 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display