Properties

Label 176890.bi
Number of curves $1$
Conductor $176890$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 176890.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176890.bi1 176890dw1 \([1, 0, 1, -369, 15726]\) \(-130321/2450\) \(-104054658050\) \([]\) \(179712\) \(0.79505\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176890.bi1 has rank \(1\).

Complex multiplication

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

Modular form 176890.2.a.bi

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