Properties

Label 187200gp
Number of curves $1$
Conductor $187200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gp1")
 
E.isogeny_class()
 

Elliptic curves in class 187200gp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.cw1 187200gp1 \([0, 0, 0, -16470, 814050]\) \(-3137785344/2197\) \(-345948408000\) \([]\) \(276480\) \(1.1506\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200gp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 187200gp do not have complex multiplication.

Modular form 187200.2.a.gp

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} + 3 q^{11} - q^{13} - 5 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display