Properties

Label 20181b
Number of curves $1$
Conductor $20181$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 20181b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20181.k1 20181b1 \([0, -1, 1, -1281, -17236]\) \(-251920384/147\) \(-135757587\) \([]\) \(15840\) \(0.50577\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20181b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20181b do not have complex multiplication.

Modular form 20181.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} + 4 q^{5} - q^{7} + q^{9} + 4 q^{11} + 2 q^{12} - 5 q^{13} - 4 q^{15} + 4 q^{16} + 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display