Properties

Label 279174bq
Number of curves $1$
Conductor $279174$
CM no
Rank $1$

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

Elliptic curves in class 279174bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
279174.bq1 279174bq1 \([1, 1, 1, 2628738, 1101970875]\) \(83228502970940543/69854999176704\) \(-1686129862622635992576\) \([]\) \(19514880\) \(2.7607\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 279174bq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 279174bq do not have complex multiplication.

Modular form 279174.2.a.bq

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