Properties

Label 22218.t
Number of curves $1$
Conductor $22218$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 22218.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22218.t1 22218s1 \([1, 1, 1, -2329221, -1369773045]\) \(-2641801258666400088001/1244109469188096\) \(-658133909200502784\) \([]\) \(552960\) \(2.3747\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22218.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 22218.t do not have complex multiplication.

Modular form 22218.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - q^{7} + q^{8} + q^{9} - q^{10} - 6 q^{11} - q^{12} - q^{13} - q^{14} + q^{15} + q^{16} + 2 q^{17} + q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display