Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("y1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22848.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22848.y1 22848k1 \([0, -1, 0, -1825, -35231]\) \(-20525811272/5055477\) \(-165657870336\) \([]\) \(20736\) \(0.87095\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22848.y1 has rank \(0\).

Complex multiplication

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

Modular form 22848.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} + q^{9} + 5q^{11} - q^{13} - q^{15} - q^{17} - 2q^{19} + O(q^{20})\)  Toggle raw display