Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("ce1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22848.ce

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22848.ce1 22848cr1 \([0, 1, 0, 79, 213]\) \(841232384/722211\) \(-46221504\) \([]\) \(3840\) \(0.15832\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22848.ce1 has rank \(0\).

Complex multiplication

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

Modular form 22848.2.a.ce

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