Properties

Label 209088.bn
Number of curves $1$
Conductor $209088$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bn1")
 
E.isogeny_class()
 

Elliptic curves in class 209088.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
209088.bn1 209088cl1 \([0, 0, 0, -726, 7986]\) \(-13824\) \(-3061257408\) \([]\) \(103680\) \(0.56977\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 209088.bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 209088.bn do not have complex multiplication.

Modular form 209088.2.a.bn

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