Properties

Label 122694bk
Number of curves $1$
Conductor $122694$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bk1")
 
E.isogeny_class()
 

Elliptic curves in class 122694bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
122694.be1 122694bk1 \([1, 0, 1, 9798, 13211746]\) \(1472207/1067742\) \(-75456591005565198\) \([]\) \(1088640\) \(1.9176\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 122694bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 122694bk do not have complex multiplication.

Modular form 122694.2.a.bk

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 2 q^{5} - q^{6} + 2 q^{7} - q^{8} + q^{9} + 2 q^{10} + q^{12} - 2 q^{14} - 2 q^{15} + q^{16} + 4 q^{17} - q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display