Properties

Label 43120.x
Number of curves $1$
Conductor $43120$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 43120.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43120.x1 43120bt1 \([0, -1, 0, -16, -16960]\) \(-2401/619520\) \(-124340142080\) \([]\) \(34560\) \(0.80774\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43120.x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 43120.x do not have complex multiplication.

Modular form 43120.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{9} + q^{11} + 2 q^{13} + q^{15} + 4 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display