Properties

Label 22218d
Number of curves $1$
Conductor $22218$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 22218d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22218.i1 22218d1 \([1, 1, 0, -10901, -442647]\) \(270850291507273/551124\) \(291544596\) \([]\) \(38016\) \(0.87484\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22218d1 has rank \(0\).

Complex multiplication

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

Modular form 22218.2.a.d

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