Properties

Label 180336cx
Number of curves $1$
Conductor $180336$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cx1")
 
E.isogeny_class()
 

Elliptic curves in class 180336cx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
180336.w1 180336cx1 \([0, -1, 0, 90072, -10504176]\) \(5656750/6591\) \(-94161341017356288\) \([]\) \(1674432\) \(1.9433\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 180336cx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 180336cx do not have complex multiplication.

Modular form 180336.2.a.cx

sage: E.q_eigenform(10)
 
\(q - q^{3} + 4 q^{7} + q^{9} + q^{13} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display