Properties

Label 22080.cl
Number of curves $1$
Conductor $22080$
CM no
Rank $1$

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

Elliptic curves in class 22080.cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22080.cl1 22080db1 \([0, 1, 0, -805, -9085]\) \(-3525581824/9315\) \(-152616960\) \([]\) \(12288\) \(0.44532\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22080.cl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 22080.cl do not have complex multiplication.

Modular form 22080.2.a.cl

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 3 q^{7} + q^{9} - 6 q^{11} + 2 q^{13} + q^{15} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display