Properties

Label 188760.cw
Number of curves $1$
Conductor $188760$
CM no
Rank $0$

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

Elliptic curves in class 188760.cw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188760.cw1 188760l1 \([0, 1, 0, -12745, -853525]\) \(-504871936/394875\) \(-179083558368000\) \([]\) \(648000\) \(1.4335\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 188760.cw1 has rank \(0\).

Complex multiplication

The elliptic curves in class 188760.cw do not have complex multiplication.

Modular form 188760.2.a.cw

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + 3q^{7} + q^{9} + q^{13} + q^{15} + q^{17} + 6q^{19} + O(q^{20})\)  Toggle raw display