Properties

Label 22080co
Number of curves $1$
Conductor $22080$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("co1")
 
E.isogeny_class()
 

Elliptic curves in class 22080co

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22080.cb1 22080co1 \([0, 1, 0, 30459, -8987805]\) \(190737654201344/2245153696875\) \(-36784598169600000\) \([]\) \(153600\) \(1.8596\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22080co1 has rank \(1\).

Complex multiplication

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

Modular form 22080.2.a.co

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + 3 q^{7} + q^{9} - 4 q^{11} - q^{15} + 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display