Properties

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

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Show commands: SageMath
E = EllipticCurve("cl1")
 
E.isogeny_class()
 

Elliptic curves in class 58800cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.fz1 58800cl1 \([0, 1, 0, 48592, 9331188]\) \(68782/243\) \(-44827092576000000\) \([]\) \(470400\) \(1.8781\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800cl1 has rank \(0\).

Complex multiplication

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

Modular form 58800.2.a.cl

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