Properties

Label 1710.g
Number of curves $1$
Conductor $1710$
CM no
Rank $0$

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

Elliptic curves in class 1710.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1710.g1 1710k1 \([1, -1, 0, -429, -3547]\) \(-11993263569/972800\) \(-709171200\) \([]\) \(1232\) \(0.44453\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1710.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1710.g do not have complex multiplication.

Modular form 1710.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - 5 q^{7} - q^{8} - q^{10} + 4 q^{11} - q^{13} + 5 q^{14} + q^{16} + 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display