Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 176610.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176610.i1 176610dh1 \([1, 1, 0, -26903607, 58984752789]\) \(-4304981456364121/514382400000\) \(-257317950490270286400000\) \([]\) \(40089600\) \(3.2275\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176610.i1 has rank \(1\).

Complex multiplication

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

Modular form 176610.2.a.i

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