Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22848.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22848.p1 22848br1 \([0, -1, 0, 139, -723]\) \(17997824/22491\) \(-368492544\) \([]\) \(9216\) \(0.32979\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22848.p1 has rank \(0\).

Complex multiplication

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

Modular form 22848.2.a.p

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