Properties

Label 143745f
Number of curves $1$
Conductor $143745$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 143745f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
143745.i1 143745f1 \([1, 0, 0, -1351916, -623876859]\) \(-106503164422201/3877233885\) \(-9947921372614168965\) \([]\) \(4136832\) \(2.4167\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 143745f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 143745f do not have complex multiplication.

Modular form 143745.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} - q^{5} - q^{6} + q^{7} + 3 q^{8} + q^{9} + q^{10} - 3 q^{11} - q^{12} - q^{14} - q^{15} - q^{16} + 7 q^{17} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display