Properties

Label 22386.p
Number of curves $1$
Conductor $22386$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 22386.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22386.p1 22386p1 \([1, 1, 1, 15457, 55583]\) \(408411137424575375/237392322963978\) \(-237392322963978\) \([]\) \(116960\) \(1.4478\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22386.p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 22386.p do not have complex multiplication.

Modular form 22386.2.a.p

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