Properties

Label 102850.i
Number of curves $1$
Conductor $102850$
CM no
Rank $1$

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

Elliptic curves in class 102850.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102850.i1 102850bp1 \([1, 0, 1, -13810701, 26055299048]\) \(-420973434058945/180217357408\) \(-124713297619950737500000\) \([]\) \(11088000\) \(3.1393\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102850.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 102850.i do not have complex multiplication.

Modular form 102850.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{2} - 2 q^{3} + q^{4} + 2 q^{6} + 2 q^{7} - q^{8} + q^{9} - 2 q^{12} + q^{13} - 2 q^{14} + q^{16} - q^{17} - q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display