Properties

Label 176610.s
Number of curves $1$
Conductor $176610$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 176610.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176610.s1 176610df1 \([1, 1, 0, -7122, -234444]\) \(-47514799500001/26342400\) \(-22153958400\) \([]\) \(316800\) \(0.93283\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176610.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 176610.s do not have complex multiplication.

Modular form 176610.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + q^{7} - q^{8} + q^{9} - q^{10} + 5 q^{11} - q^{12} + 2 q^{13} - q^{14} - q^{15} + q^{16} - 3 q^{17} - q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display