Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("ca1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22848.ca

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22848.ca1 22848bb1 \([0, 1, 0, 14259, 597573]\) \(5009339741732864/5271114033171\) \(-337351298122944\) \([]\) \(78336\) \(1.4744\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22848.ca1 has rank \(1\).

Complex multiplication

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

Modular form 22848.2.a.ca

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