Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("n1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22848.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22848.n1 22848bv1 \([0, -1, 0, -21, 147]\) \(-16777216/122451\) \(-7836864\) \([]\) \(4608\) \(0.0059604\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22848.n1 has rank \(1\).

Complex multiplication

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

Modular form 22848.2.a.n

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