Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 22386f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22386.c1 22386f1 \([1, 1, 0, 4520, 26944]\) \(10209133395200375/6179378429952\) \(-6179378429952\) \([]\) \(51680\) \(1.1436\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22386f1 has rank \(0\).

Complex multiplication

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

Modular form 22386.2.a.f

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