Properties

Label 137904.bq
Number of curves $1$
Conductor $137904$
CM no
Rank $0$

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

Elliptic curves in class 137904.bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
137904.bq1 137904a1 \([0, 1, 0, -152325, 40653939]\) \(-692224/867\) \(-489567487725907968\) \([]\) \(2720640\) \(2.0877\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 137904.bq1 has rank \(0\).

Complex multiplication

The elliptic curves in class 137904.bq do not have complex multiplication.

Modular form 137904.2.a.bq

sage: E.q_eigenform(10)
 
\(q + q^{3} - 4q^{5} - 3q^{7} + q^{9} + 4q^{11} - 4q^{15} + q^{17} - 4q^{19} + O(q^{20})\)  Toggle raw display