Properties

Label 333795.bk
Number of curves $1$
Conductor $333795$
CM no
Rank $1$

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

Elliptic curves in class 333795.bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
333795.bk1 333795bk1 \([0, 1, 1, -37955, 9186986]\) \(-250523582464/1369738755\) \(-33062163710786595\) \([]\) \(2016000\) \(1.8538\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 333795.bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 333795.bk do not have complex multiplication.

Modular form 333795.2.a.bk

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} + q^{5} - q^{7} + q^{9} - q^{11} - 2 q^{12} + q^{15} + 4 q^{16} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display