Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 102550.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102550.j1 102550o1 \([1, 1, 0, -2450, -48500]\) \(-833237621/16408\) \(-32046875000\) \([]\) \(112320\) \(0.80897\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550.j1 has rank \(1\).

Complex multiplication

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

Modular form 102550.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} - 2 q^{9} + 3 q^{11} - q^{12} - q^{13} - q^{14} + q^{16} - 3 q^{17} + 2 q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display