Properties

Label 189618.bq
Number of curves $1$
Conductor $189618$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("bq1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 189618.bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
189618.bq1 189618i1 \([1, 0, 0, -943108, 357389330]\) \(-672937149625/10996722\) \(-1515991510202718978\) \([]\) \(3744000\) \(2.2886\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 189618.bq1 has rank \(0\).

Complex multiplication

The elliptic curves in class 189618.bq do not have complex multiplication.

Modular form 189618.2.a.bq

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + 2q^{7} + q^{8} + q^{9} - q^{11} + q^{12} + 2q^{14} + q^{16} + q^{17} + q^{18} + O(q^{20})\)  Toggle raw display