Properties

Label 328560.bq
Number of curves $1$
Conductor $328560$
CM no
Rank $1$

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

Elliptic curves in class 328560.bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
328560.bq1 328560bq1 \([0, 1, 0, 47459, -35412430]\) \(394224336896/18310546875\) \(-549070605468750000\) \([]\) \(3677184\) \(2.0837\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 328560.bq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 328560.bq do not have complex multiplication.

Modular form 328560.2.a.bq

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 3 q^{7} + q^{9} - 5 q^{13} - q^{15} - 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display