Properties

Label 43190.j
Number of curves $1$
Conductor $43190$
CM no
Rank $1$

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

Elliptic curves in class 43190.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43190.j1 43190g1 \([1, -1, 1, -686103, 225311111]\) \(-35718324094664888401089/1226817412900798040\) \(-1226817412900798040\) \([]\) \(815040\) \(2.2443\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43190.j1 has rank \(1\).

Complex multiplication

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

Modular form 43190.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} - q^{7} + q^{8} - 3 q^{9} - q^{10} - 6 q^{11} - q^{13} - q^{14} + q^{16} + 2 q^{17} - 3 q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display