Properties

Label 266805bv
Number of curves $1$
Conductor $266805$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bv1")
 
E.isogeny_class()
 

Elliptic curves in class 266805bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
266805.bv1 266805bv1 \([1, -1, 1, -623657, -410852186]\) \(-1459161/3125\) \(-57452280391470628125\) \([]\) \(6098400\) \(2.4804\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 266805bv1 has rank \(1\).

Complex multiplication

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

Modular form 266805.2.a.bv

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