Properties

Label 374790.bo
Number of curves $1$
Conductor $374790$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bo1")
 
E.isogeny_class()
 

Elliptic curves in class 374790.bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
374790.bo1 374790bo1 \([1, 0, 1, 472311, 290705836]\) \(13662043511/50700000\) \(-43241575598258700000\) \([]\) \(19344000\) \(2.4506\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 374790.bo1 has rank \(1\).

Complex multiplication

The elliptic curves in class 374790.bo do not have complex multiplication.

Modular form 374790.2.a.bo

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} + 2 q^{7} - q^{8} + q^{9} + q^{10} - 5 q^{11} + q^{12} + q^{13} - 2 q^{14} - q^{15} + q^{16} + 7 q^{17} - q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display