Properties

Label 177870iu
Number of curves $1$
Conductor $177870$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("iu1")
 
E.isogeny_class()
 

Elliptic curves in class 177870iu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177870.ba1 177870iu1 \([1, 1, 0, -4358, -113868]\) \(-105484561/1440\) \(-125001344160\) \([]\) \(343200\) \(0.93616\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177870iu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 177870iu do not have complex multiplication.

Modular form 177870.2.a.iu

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