Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 43120.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43120.j1 43120bb1 \([0, 1, 0, -355266, -85805105]\) \(-129084391106508544/7863818359375\) \(-302096446093750000\) \([]\) \(411840\) \(2.1089\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43120.j1 has rank \(1\).

Complex multiplication

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

Modular form 43120.2.a.j

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