Properties

Label 58800.ey
Number of curves $1$
Conductor $58800$
CM no
Rank $1$

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

Elliptic curves in class 58800.ey

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.ey1 58800gf1 \([0, -1, 0, -6082533, 9517279437]\) \(-1376628736/1366875\) \(-24710934782520000000000\) \([]\) \(4515840\) \(2.9926\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.ey1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58800.ey do not have complex multiplication.

Modular form 58800.2.a.ey

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + 6 q^{11} - 3 q^{13} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display