Properties

Label 229320.bx
Number of curves $1$
Conductor $229320$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("bx1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 229320.bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.bx1 229320ee1 \([0, 0, 0, -1118523, 455320838]\) \(-35962234084/195\) \(-839163173022720\) \([]\) \(2429952\) \(2.0577\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 229320.bx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 229320.bx do not have complex multiplication.

Modular form 229320.2.a.bx

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