Properties

Label 32448.bq
Number of curves $1$
Conductor $32448$
CM no
Rank $1$

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

Elliptic curves in class 32448.bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32448.bq1 32448h1 \([0, -1, 0, 191, 961]\) \(69212/81\) \(-897122304\) \([]\) \(12288\) \(0.40419\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32448.bq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 32448.bq do not have complex multiplication.

Modular form 32448.2.a.bq

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