Properties

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

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 2790.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2790.x1 2790s1 \([1, -1, 1, -2, 9]\) \(-19683/1240\) \(-33480\) \([]\) \(288\) \(-0.45197\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2790.x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2790.x do not have complex multiplication.

Modular form 2790.2.a.x

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