Properties

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

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

Elliptic curves in class 20286u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20286.u1 20286u1 \([1, -1, 0, -271224, -54484704]\) \(-25727239787761/101406816\) \(-8697269251280736\) \([]\) \(138240\) \(1.9160\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20286u1 has rank \(1\).

Complex multiplication

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

Modular form 20286.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{8} - q^{10} + q^{13} + q^{16} + 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display