Properties

Label 18207g
Number of curves $1$
Conductor $18207$
CM no
Rank $1$

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

Elliptic curves in class 18207g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18207.a1 18207g1 \([0, 0, 1, 51153, 3096418]\) \(841232384/722211\) \(-12708232609048011\) \([]\) \(110592\) \(1.7777\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18207g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 18207g do not have complex multiplication.

Modular form 18207.2.a.g

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{5} + q^{7} - 2 q^{10} + q^{11} + q^{13} - 2 q^{14} - 4 q^{16} + q^{19} + O(q^{20})\) Copy content Toggle raw display