Properties

Label 176610l
Number of curves $1$
Conductor $176610$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 176610l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176610.di1 176610l1 \([1, 0, 0, -683735961, 8856579222585]\) \(-2436727684840039781/925676688384000\) \(-13428926844845687896605696000\) \([]\) \(180887616\) \(4.1070\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176610l1 has rank \(1\).

Complex multiplication

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

Modular form 176610.2.a.l

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