Properties

Label 180336bn
Number of curves $1$
Conductor $180336$
CM no
Rank $1$

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

Elliptic curves in class 180336bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
180336.bc1 180336bn1 \([0, -1, 0, -813920, -301746816]\) \(-2086979041/171366\) \(-4896389732902526976\) \([]\) \(3290112\) \(2.3321\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 180336bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 180336bn do not have complex multiplication.

Modular form 180336.2.a.bn

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 4 q^{7} + q^{9} + 5 q^{11} - q^{13} - q^{15} + O(q^{20})\) Copy content Toggle raw display