Properties

Label 72128.bk
Number of curves $1$
Conductor $72128$
CM no
Rank $0$

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

Elliptic curves in class 72128.bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
72128.bk1 72128by1 \([0, 1, 0, -849, 9575]\) \(-562432/23\) \(-2770869248\) \([]\) \(36864\) \(0.57941\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 72128.bk1 has rank \(0\).

Complex multiplication

The elliptic curves in class 72128.bk do not have complex multiplication.

Modular form 72128.2.a.bk

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{5} - 2 q^{9} - 2 q^{11} + 7 q^{13} - 2 q^{15} + 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display