Properties

Label 131043.d
Number of curves $1$
Conductor $131043$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 131043.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
131043.d1 131043c1 \([0, 1, 1, 1324, -3052]\) \(45056/27\) \(-153698893227\) \([]\) \(253368\) \(0.83581\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 131043.d1 has rank \(0\).

Complex multiplication

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

Modular form 131043.2.a.d

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + q^{3} + 2 q^{4} + 4 q^{5} - 2 q^{6} - q^{7} + q^{9} - 8 q^{10} + 2 q^{12} - 2 q^{13} + 2 q^{14} + 4 q^{15} - 4 q^{16} - 4 q^{17} - 2 q^{18} + O(q^{20})\) Copy content Toggle raw display