Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("ep1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 58800ep

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
58800.jz1 58800ep1 [0, 1, 0, 14292, 20624463] [] 645120 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800ep1 has rank \(0\).

Complex multiplication

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

Modular form 58800.2.a.ep

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