Properties

Label 161700cw
Number of curves $1$
Conductor $161700$
CM no
Rank $0$

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

Elliptic curves in class 161700cw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
161700.l1 161700cw1 \([0, -1, 0, -7229133, 7481579337]\) \(2219597331865600/733776813\) \(13812497323621920000\) \([]\) \(5031936\) \(2.6458\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 161700cw1 has rank \(0\).

Complex multiplication

The elliptic curves in class 161700cw do not have complex multiplication.

Modular form 161700.2.a.cw

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