Properties

Label 122247i
Number of curves $1$
Conductor $122247$
CM no
Rank $0$

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

Elliptic curves in class 122247i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
122247.u1 122247i1 \([0, 0, 1, -32079, -838895]\) \(207474688/102789\) \(1808704826776989\) \([]\) \(1032192\) \(1.6206\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 122247i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 122247i do not have complex multiplication.

Modular form 122247.2.a.i

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