Properties

Label 122199h
Number of curves $1$
Conductor $122199$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 122199h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
122199.j1 122199h1 \([0, -1, 1, -85874, 273869153]\) \(-473093337088/218558899251\) \(-32354560949483219139\) \([]\) \(4055040\) \(2.4227\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 122199h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 122199h do not have complex multiplication.

Modular form 122199.2.a.h

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - q^{3} + 2 q^{4} + 3 q^{5} - 2 q^{6} + q^{7} + q^{9} + 6 q^{10} - q^{11} - 2 q^{12} + 2 q^{13} + 2 q^{14} - 3 q^{15} - 4 q^{16} - 6 q^{17} + 2 q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display