Properties

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

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Show commands: SageMath
E = EllipticCurve("fl1")
 
E.isogeny_class()
 

Elliptic curves in class 58800.fl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.fl1 58800ke1 \([0, 1, 0, -12247958, 16494399963]\) \(-805661175040/729\) \(-183861121893750000\) \([]\) \(1935360\) \(2.6110\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.fl1 has rank \(1\).

Complex multiplication

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

Modular form 58800.2.a.fl

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} - 5 q^{11} + 2 q^{13} + 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display