Properties

Label 86490cu
Number of curves $1$
Conductor $86490$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cu1")
 
E.isogeny_class()
 

Elliptic curves in class 86490cu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
86490.cj1 86490cu1 \([1, -1, 1, -1760252, -1014877249]\) \(-932288503609/148800000\) \(-96272139297211200000\) \([]\) \(2764800\) \(2.5626\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 86490cu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 86490cu do not have complex multiplication.

Modular form 86490.2.a.cu

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