Properties

Label 131043ba
Number of curves $1$
Conductor $131043$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 131043ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
131043.x1 131043ba1 \([1, 1, 0, -6657, -163962]\) \(51026761/11979\) \(7660972048059\) \([]\) \(259200\) \(1.1840\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 131043ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 131043ba do not have complex multiplication.

Modular form 131043.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} + q^{5} - q^{6} + 3 q^{7} - 3 q^{8} + q^{9} + q^{10} + q^{12} + 6 q^{13} + 3 q^{14} - q^{15} - q^{16} + q^{18} + O(q^{20})\) Copy content Toggle raw display