Properties

Label 187200.qj
Number of curves $1$
Conductor $187200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("qj1")
 
E.isogeny_class()
 

Elliptic curves in class 187200.qj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.qj1 187200ol1 \([0, 0, 0, -310800, 66692000]\) \(-17790954496/195\) \(-36391680000000\) \([]\) \(1474560\) \(1.7563\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200.qj1 has rank \(1\).

Complex multiplication

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

Modular form 187200.2.a.qj

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