Properties

Label 104907.bk
Number of curves $1$
Conductor $104907$
CM no
Rank $1$

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

Elliptic curves in class 104907.bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
104907.bk1 104907bg1 \([0, 1, 1, 1060, 2855]\) \(45056/27\) \(-78857437923\) \([]\) \(177408\) \(0.78020\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 104907.bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 104907.bk do not have complex multiplication.

Modular form 104907.2.a.bk

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