Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 131043.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
131043.h1 131043f1 \([1, 0, 0, -2403365, 1105388934]\) \(51026761/11979\) \(360417179317309994979\) \([]\) \(4924800\) \(2.6562\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 131043.h1 has rank \(1\).

Complex multiplication

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

Modular form 131043.2.a.h

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