Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("ba1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 20286ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20286.bb1 20286ba1 \([1, -1, 0, 4011327, 2074146493]\) \(83228502970940543/69854999176704\) \(-5991192311844095645184\) \([]\) \(1520640\) \(2.8664\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20286ba1 has rank \(1\).

Complex multiplication

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

Modular form 20286.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3q^{5} - q^{8} - 3q^{10} - 4q^{11} + 3q^{13} + q^{16} - 4q^{17} + O(q^{20})\)  Toggle raw display