Properties

Label 131859.bq
Number of curves $1$
Conductor $131859$
CM no
Rank $0$

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

Elliptic curves in class 131859.bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
131859.bq1 131859bq1 \([0, 0, 1, -675171, -299239117]\) \(-396870925750272/221358574619\) \(-18985066295160682899\) \([]\) \(4999680\) \(2.4025\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 131859.bq1 has rank \(0\).

Complex multiplication

The elliptic curves in class 131859.bq do not have complex multiplication.

Modular form 131859.2.a.bq

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} + 3 q^{5} + 6 q^{10} - 3 q^{11} + q^{13} - 4 q^{16} + 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display