Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("ci1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 58800ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.g1 58800ci1 \([0, -1, 0, -1656608, -820635213]\) \(-427361108435200/301327047\) \(-354508257525030000\) \([]\) \(1032192\) \(2.3036\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800ci1 has rank \(1\).

Complex multiplication

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

Modular form 58800.2.a.ci

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 5q^{11} - 2q^{13} - 4q^{17} + 6q^{19} + O(q^{20})\)  Toggle raw display