Properties

Label 209814bj
Number of curves $1$
Conductor $209814$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 209814bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
209814.cp1 209814bj1 \([1, 1, 1, -57577187, 168154766759]\) \(-1708156114633/215622\) \(-2664652326459087034422\) \([]\) \(22913280\) \(3.1333\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 209814bj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 209814bj do not have complex multiplication.

Modular form 209814.2.a.bj

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + 2 q^{5} - q^{6} + 2 q^{7} + q^{8} + q^{9} + 2 q^{10} - q^{12} - 3 q^{13} + 2 q^{14} - 2 q^{15} + q^{16} + q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display