Properties

Label 159936.cw
Number of curves $1$
Conductor $159936$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cw1")
 
E.isogeny_class()
 

Elliptic curves in class 159936.cw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159936.cw1 159936eb1 \([0, -1, 0, 172415, 26007073]\) \(53582633/58752\) \(-621505444174626816\) \([]\) \(1806336\) \(2.1008\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159936.cw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 159936.cw do not have complex multiplication.

Modular form 159936.2.a.cw

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} - 5 q^{11} - 5 q^{13} - q^{15} - q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display