Properties

Label 254320bk
Number of curves $1$
Conductor $254320$
CM no
Rank $0$

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

Elliptic curves in class 254320bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254320.bk1 254320bk1 \([0, 1, 0, 23024, 1710484]\) \(13651919/20570\) \(-2033704117575680\) \([]\) \(884736\) \(1.6228\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254320bk1 has rank \(0\).

Complex multiplication

The elliptic curves in class 254320bk do not have complex multiplication.

Modular form 254320.2.a.bk

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + 4 q^{7} - 2 q^{9} - q^{11} - q^{13} - q^{15} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display