Properties

Label 9792bk
Number of curves $1$
Conductor $9792$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bk1")
 
E.isogeny_class()
 

Elliptic curves in class 9792bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9792.q1 9792bk1 \([0, 0, 0, -318, -2194]\) \(-76225024/459\) \(-21415104\) \([]\) \(1536\) \(0.24626\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9792bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 9792bk do not have complex multiplication.

Modular form 9792.2.a.bk

sage: E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{7} - q^{11} + q^{13} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display