Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 16224.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16224.m1 16224x1 \([0, 1, 0, 35, -181]\) \(6656/27\) \(-18690048\) \([]\) \(5760\) \(0.077948\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16224.m1 has rank \(1\).

Complex multiplication

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

Modular form 16224.2.a.m

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