Properties

Label 180336cp
Number of curves $1$
Conductor $180336$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cp1")
 
E.isogeny_class()
 

Elliptic curves in class 180336cp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
180336.e1 180336cp1 \([0, -1, 0, -1324872, 587309664]\) \(36004308772/6591\) \(47080670508678144\) \([]\) \(2467584\) \(2.2022\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 180336cp1 has rank \(0\).

Complex multiplication

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

Modular form 180336.2.a.cp

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{7} + q^{9} + 2 q^{11} - q^{13} + 3 q^{15} + q^{19} + O(q^{20})\) Copy content Toggle raw display