Properties

Label 161840.cm
Number of curves $1$
Conductor $161840$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("cm1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 161840.cm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
161840.cm1 161840bx1 [0, 0, 0, 9248, -1041556] [] 1240320 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 161840.cm1 has rank \(1\).

Complex multiplication

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

Modular form 161840.2.a.cm

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