Properties

Label 179088bl
Number of curves $1$
Conductor $179088$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 179088bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
179088.w1 179088bl1 \([0, -1, 0, -44240, -3565632]\) \(2337862343841361/913886064\) \(3743277318144\) \([]\) \(387072\) \(1.3774\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 179088bl1 has rank \(1\).

Complex multiplication

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

Modular form 179088.2.a.bl

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