Properties

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

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Show commands: SageMath
E = EllipticCurve("ou1")
 
E.isogeny_class()
 

Elliptic curves in class 187200ou

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.ns1 187200ou1 \([0, 0, 0, 270, -1350]\) \(13824/13\) \(-2047032000\) \([]\) \(79872\) \(0.47382\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200ou1 has rank \(1\).

Complex multiplication

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

Modular form 187200.2.a.ou

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} - 3 q^{11} + q^{13} + 7 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display