Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 22386u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22386.z1 22386u1 \([1, 0, 0, -903, 10371]\) \(-81436110288625/14259882\) \(-14259882\) \([]\) \(8928\) \(0.37802\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22386u1 has rank \(0\).

Complex multiplication

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

Modular form 22386.2.a.u

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