Properties

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

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 222180.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
222180.k1 222180q1 \([0, 1, 0, -61, -385]\) \(-188416/315\) \(-42658560\) \([]\) \(62208\) \(0.15485\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 222180.k1 has rank \(0\).

Complex multiplication

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

Modular form 222180.2.a.k

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