Properties

Label 162624.bq
Number of curves $1$
Conductor $162624$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bq1")
 
E.isogeny_class()
 

Elliptic curves in class 162624.bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162624.bq1 162624cx1 \([0, -1, 0, -338961, -75585321]\) \(313944395776/1240029\) \(17011918646243136\) \([]\) \(1858560\) \(1.9716\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162624.bq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 162624.bq do not have complex multiplication.

Modular form 162624.2.a.bq

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