Properties

Label 102550.i
Number of curves $1$
Conductor $102550$
CM no
Rank $1$

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

Elliptic curves in class 102550.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102550.i1 102550n1 \([1, 1, 0, -1992595, 1081791725]\) \(6999566570342729471213/15443078336\) \(1930384792000\) \([]\) \(919296\) \(2.0302\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 102550.i do not have complex multiplication.

Modular form 102550.2.a.i

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