Properties

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

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 179088bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
179088.r1 179088bf1 \([0, -1, 0, -40136, -3084816]\) \(-1745729089577929/2114671104\) \(-8661692841984\) \([]\) \(435456\) \(1.3930\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 179088bf1 has rank \(0\).

Complex multiplication

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

Modular form 179088.2.a.bf

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