Properties

Label 229320ey
Number of curves $1$
Conductor $229320$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("ey1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 229320ey

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.cb1 229320ey1 \([0, 0, 0, 5292, -153468]\) \(1354752/1625\) \(-19659695328000\) \([]\) \(393984\) \(1.2370\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 229320ey1 has rank \(1\).

Complex multiplication

The elliptic curves in class 229320ey do not have complex multiplication.

Modular form 229320.2.a.ey

sage: E.q_eigenform(10)
 
\(q - q^{5} + 3q^{11} - q^{13} - 2q^{17} - 4q^{19} + O(q^{20})\)  Toggle raw display