Properties

Label 116242.i
Number of curves $1$
Conductor $116242$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 116242.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116242.i1 116242a1 \([1, 0, 1, 125, -1298]\) \(31855013/126224\) \(-865770416\) \([]\) \(76800\) \(0.39763\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116242.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 116242.i do not have complex multiplication.

Modular form 116242.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 3 q^{5} - q^{6} - q^{7} - q^{8} - 2 q^{9} + 3 q^{10} + 4 q^{11} + q^{12} - 5 q^{13} + q^{14} - 3 q^{15} + q^{16} - 7 q^{17} + 2 q^{18} + O(q^{20})\) Copy content Toggle raw display