Properties

Label 22848.cy
Number of curves $1$
Conductor $22848$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("cy1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22848.cy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22848.cy1 22848y1 \([0, 1, 0, -9841909, 11881474259]\) \(-6434900743458429657088/395758108932291\) \(-6484100856746655744\) \([]\) \(967680\) \(2.6696\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22848.cy1 has rank \(0\).

Complex multiplication

The elliptic curves in class 22848.cy do not have complex multiplication.

Modular form 22848.2.a.cy

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3q^{5} - q^{7} + q^{9} + 5q^{11} - q^{13} + 3q^{15} - q^{17} - 3q^{19} + O(q^{20})\)  Toggle raw display