Properties

Label 36800bk
Number of curves $1$
Conductor $36800$
CM no
Rank $2$

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

Elliptic curves in class 36800bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36800.q1 36800bk1 \([0, 1, 0, -1833, 29713]\) \(-5451776/23\) \(-2875000000\) \([]\) \(22400\) \(0.66958\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36800bk1 has rank \(2\).

Complex multiplication

The elliptic curves in class 36800bk do not have complex multiplication.

Modular form 36800.2.a.bk

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{7} + q^{9} - 2 q^{13} - 5 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display