Properties

Label 197106.bq
Number of curves $1$
Conductor $197106$
CM no
Rank $0$

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

Elliptic curves in class 197106.bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
197106.bq1 197106z1 \([1, 1, 1, -2715, 61449]\) \(-47045881/8736\) \(-410992816416\) \([]\) \(287280\) \(0.95296\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 197106.bq1 has rank \(0\).

Complex multiplication

The elliptic curves in class 197106.bq do not have complex multiplication.

Modular form 197106.2.a.bq

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - q^{7} + q^{8} + q^{9} + q^{10} + 3 q^{11} - q^{12} + q^{13} - q^{14} - q^{15} + q^{16} + 5 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display