Properties

Label 20181.g
Number of curves $1$
Conductor $20181$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 20181.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20181.g1 20181h1 \([1, 1, 1, -19240, -6403186]\) \(-961/21\) \(-17212194026596821\) \([]\) \(107880\) \(1.7962\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20181.g1 has rank \(1\).

Complex multiplication

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

Modular form 20181.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} + q^{5} + q^{6} + q^{7} + 3 q^{8} + q^{9} - q^{10} + 3 q^{11} + q^{12} - q^{14} - q^{15} - q^{16} - 3 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display