Properties

Label 43190n
Number of curves $1$
Conductor $43190$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 43190n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43190.n1 43190n1 \([1, -1, 1, -1297, -26781]\) \(-241118029063521/177844110850\) \(-177844110850\) \([]\) \(52480\) \(0.85808\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43190n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 43190n do not have complex multiplication.

Modular form 43190.2.a.n

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} + q^{7} + q^{8} - 3 q^{9} + q^{10} + 5 q^{11} + q^{13} + q^{14} + q^{16} + 8 q^{17} - 3 q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display