Properties

Label 106722ez
Number of curves $1$
Conductor $106722$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ez1")
 
E.isogeny_class()
 

Elliptic curves in class 106722ez

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106722.ey1 106722ez1 \([1, -1, 1, -1447720616, -21207102493013]\) \(-34068278205171/10307264\) \(-101524580426307587911483968\) \([]\) \(50803200\) \(3.9678\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106722ez1 has rank \(0\).

Complex multiplication

The elliptic curves in class 106722ez do not have complex multiplication.

Modular form 106722.2.a.ez

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 2 q^{5} + q^{8} - 2 q^{10} + 2 q^{13} + q^{16} - q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display