Properties

Label 6018.g
Number of curves $1$
Conductor $6018$
CM no
Rank $1$

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

Elliptic curves in class 6018.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6018.g1 6018i1 \([1, 1, 1, 22, 2039]\) \(1174241375/1780942848\) \(-1780942848\) \([]\) \(2640\) \(0.45401\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6018.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6018.g do not have complex multiplication.

Modular form 6018.2.a.g

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + 3 q^{7} + q^{8} + q^{9} - 2 q^{11} - q^{12} - 2 q^{13} + 3 q^{14} + q^{16} + q^{17} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display