Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("s1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22848.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22848.s1 22848ch1 \([0, -1, 0, 14259, -597573]\) \(5009339741732864/5271114033171\) \(-337351298122944\) \([]\) \(78336\) \(1.4744\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22848.s1 has rank \(0\).

Complex multiplication

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

Modular form 22848.2.a.s

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