Properties

Label 92416.bq
Number of curves $1$
Conductor $92416$
CM no
Rank $1$

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

Elliptic curves in class 92416.bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92416.bq1 92416bn1 \([0, 1, 0, 13, -7]\) \(1216\) \(-184832\) \([]\) \(6912\) \(-0.30163\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92416.bq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 92416.bq do not have complex multiplication.

Modular form 92416.2.a.bq

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