Properties

Label 179088i
Number of curves $1$
Conductor $179088$
CM no
Rank $0$

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

Elliptic curves in class 179088i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
179088.bw1 179088i1 \([0, 1, 0, 247312, -3062700]\) \(408411137424575375/237392322963978\) \(-972358954860453888\) \([]\) \(2807040\) \(2.1410\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 179088i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 179088i do not have complex multiplication.

Modular form 179088.2.a.i

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{7} + q^{9} + 3 q^{11} + q^{13} + 8 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display