Properties

Label 179520.fo
Number of curves $1$
Conductor $179520$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fo1")
 
E.isogeny_class()
 

Elliptic curves in class 179520.fo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
179520.fo1 179520bo1 \([0, 1, 0, 49759, 63278559]\) \(51974460932759/6625297800000\) \(-1736782066483200000\) \([]\) \(3041280\) \(2.1792\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 179520.fo1 has rank \(1\).

Complex multiplication

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

Modular form 179520.2.a.fo

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