Properties

Label 10710.g
Number of curves $1$
Conductor $10710$
CM no
Rank $1$

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

Elliptic curves in class 10710.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10710.g1 10710i1 \([1, -1, 0, 111, 125]\) \(206425071/133280\) \(-97161120\) \([]\) \(3360\) \(0.22157\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10710.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10710.g do not have complex multiplication.

Modular form 10710.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{7} - q^{8} - q^{10} - 2 q^{11} - q^{13} + q^{14} + q^{16} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display