Properties

Label 222180.y
Number of curves $1$
Conductor $222180$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 222180.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
222180.y1 222180a1 \([0, 1, 0, -32445, 4425183]\) \(-188416/315\) \(-6314997853059840\) \([]\) \(1430784\) \(1.7226\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 222180.y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 222180.y do not have complex multiplication.

Modular form 222180.2.a.y

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{7} + q^{9} - 4 q^{11} + q^{13} + q^{15} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display