Properties

Label 176890ba
Number of curves $1$
Conductor $176890$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 176890ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176890.cx1 176890ba1 \([1, 1, 1, -133036, -108132417]\) \(-130321/2450\) \(-4895343060115992050\) \([]\) \(3414528\) \(2.2673\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176890ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 176890ba do not have complex multiplication.

Modular form 176890.2.a.ba

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