Properties

Label 20286.bb
Number of curves $1$
Conductor $20286$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 20286.bb

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 20286.bb1 has rank \(1\).

Complex multiplication

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

Modular form 20286.2.a.bb

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