Properties

Label 339864bb
Number of curves $1$
Conductor $339864$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 339864bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
339864.bb1 339864bb1 \([0, -1, 0, 561720, -366303636]\) \(68782/243\) \(-69249090567845615616\) \([]\) \(8709120\) \(2.4900\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 339864bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 339864bb do not have complex multiplication.

Modular form 339864.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} - 3 q^{11} + 4 q^{13} - q^{15} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display