Properties

Label 20286ct
Number of curves $1$
Conductor $20286$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ct1")
 
E.isogeny_class()
 

Elliptic curves in class 20286ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20286.cq1 20286ct1 \([1, -1, 1, -2263001, -1316208967]\) \(-14943832855786297/85501108224\) \(-7333098393573679104\) \([]\) \(599040\) \(2.4617\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20286ct1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20286ct do not have complex multiplication.

Modular form 20286.2.a.ct

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 3 q^{5} + q^{8} + 3 q^{10} - 4 q^{11} - 3 q^{13} + q^{16} + O(q^{20})\) Copy content Toggle raw display