Properties

Label 58800j
Number of curves $1$
Conductor $58800$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("j1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 58800j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.t1 58800j1 \([0, -1, 0, 48592, 1473312]\) \(68782/45\) \(-8301313440000000\) \([]\) \(322560\) \(1.7434\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800j1 has rank \(1\).

Complex multiplication

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

Modular form 58800.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 3q^{11} - q^{13} + 7q^{19} + O(q^{20})\)  Toggle raw display