Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("cc1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22848.cc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22848.cc1 22848bg1 \([0, 1, 0, -934241, -348758529]\) \(-344002044213921241/1011143540736\) \(-265065212342697984\) \([]\) \(391680\) \(2.2136\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22848.cc1 has rank \(1\).

Complex multiplication

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

Modular form 22848.2.a.cc

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