Properties

Label 16224.x
Number of curves $1$
Conductor $16224$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 16224.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16224.x1 16224l1 \([0, 1, 0, 5859, -421173]\) \(6656/27\) \(-90213291896832\) \([]\) \(74880\) \(1.3604\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16224.x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 16224.x do not have complex multiplication.

Modular form 16224.2.a.x

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