Properties

Label 179520u
Number of curves $1$
Conductor $179520$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 179520u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
179520.hz1 179520u1 \([0, 1, 0, -5884065, 14898985695]\) \(-85944135790429956649/316171526414008320\) \(-82882468620273797038080\) \([]\) \(14100480\) \(3.0834\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 179520u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 179520u do not have complex multiplication.

Modular form 179520.2.a.u

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