Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("cl1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22848.cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22848.cl1 22848bk1 \([0, 1, 0, -618465, -187412769]\) \(-798398773180392392/69429717\) \(-2275072966656\) \([]\) \(172800\) \(1.8113\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22848.cl1 has rank \(0\).

Complex multiplication

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

Modular form 22848.2.a.cl

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{7} + q^{9} + 5q^{11} + 5q^{13} + q^{15} + q^{17} - 2q^{19} + O(q^{20})\)  Toggle raw display