Properties

Label 43560.bn
Number of curves $1$
Conductor $43560$
CM no
Rank $1$

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

Elliptic curves in class 43560.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43560.bn1 43560w1 \([0, 0, 0, 2013, -598466]\) \(453962/78125\) \(-155247840000000\) \([]\) \(120960\) \(1.4023\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43560.bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 43560.bn do not have complex multiplication.

Modular form 43560.2.a.bn

sage: E.q_eigenform(10)
 
\(q + q^{5} - 3 q^{7} + 4 q^{13} + 3 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display