Properties

Label 58800.je
Number of curves $1$
Conductor $58800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("je1")
 
E.isogeny_class()
 

Elliptic curves in class 58800.je

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.je1 58800en1 \([0, 1, 0, 773792, 345298463]\) \(69683121920/110270727\) \(-81082754755143750000\) \([]\) \(1843200\) \(2.5054\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.je1 has rank \(0\).

Complex multiplication

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

Modular form 58800.2.a.je

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} + 3 q^{11} - 2 q^{13} + 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display