Properties

Label 80223.q
Number of curves $1$
Conductor $80223$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 80223.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
80223.q1 80223j1 \([0, -1, 1, -18, -199]\) \(-5632000/146523\) \(-17729283\) \([]\) \(24576\) \(0.071485\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 80223.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 80223.q do not have complex multiplication.

Modular form 80223.2.a.q

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