Properties

Label 161840bx
Number of curves $1$
Conductor $161840$
CM no
Rank $1$

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

Elliptic curves in class 161840bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
161840.cm1 161840bx1 \([0, 0, 0, 9248, -1041556]\) \(14155776/84035\) \(-519270556394240\) \([]\) \(1240320\) \(1.5055\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 161840bx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 161840bx do not have complex multiplication.

Modular form 161840.2.a.bx

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + q^{5} - q^{7} + 6 q^{9} - 5 q^{11} - 3 q^{13} + 3 q^{15} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display