Properties

Label 169065.be
Number of curves $1$
Conductor $169065$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 169065.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
169065.be1 169065bj1 \([1, -1, 0, -522439515, 13033091324106]\) \(-10730378053390609/43719326015625\) \(-64252525148266894627947890625\) \([]\) \(155731968\) \(4.2130\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 169065.be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 169065.be do not have complex multiplication.

Modular form 169065.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} - q^{5} + 4 q^{7} - 3 q^{8} - q^{10} + 5 q^{11} + q^{13} + 4 q^{14} - q^{16} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display