Properties

Label 18207.g
Number of curves $1$
Conductor $18207$
CM no
Rank $0$

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

Elliptic curves in class 18207.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18207.g1 18207b1 \([0, 0, 1, -110109, -16491713]\) \(-8390176768/1821771\) \(-32056406823515571\) \([]\) \(258048\) \(1.8881\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18207.g1 has rank \(0\).

Complex multiplication

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

Modular form 18207.2.a.g

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - 3 q^{5} - q^{7} - 6 q^{10} - 3 q^{11} + q^{13} - 2 q^{14} - 4 q^{16} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display