Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22848.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22848.c1 22848cf1 \([0, -1, 0, -141057, 20943009]\) \(-1184052061112257/34349180544\) \(-9004431584526336\) \([]\) \(161280\) \(1.8406\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22848.c1 has rank \(1\).

Complex multiplication

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

Modular form 22848.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3q^{5} + q^{7} + q^{9} + q^{11} - q^{13} + 3q^{15} - q^{17} + 6q^{19} + O(q^{20})\)  Toggle raw display