Properties

Label 266805.bu
Number of curves $1$
Conductor $266805$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bu1")
 
E.isogeny_class()
 

Elliptic curves in class 266805.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
266805.bu1 266805bu1 \([1, -1, 1, -394872512, 3220076628024]\) \(-7558595228569/597871125\) \(-538593253139755282315510125\) \([]\) \(89413632\) \(3.8762\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 266805.bu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 266805.bu do not have complex multiplication.

Modular form 266805.2.a.bu

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