Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 179520.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
179520.j1 179520dm1 \([0, -1, 0, -10561, 421345]\) \(-496981290961/89760\) \(-23530045440\) \([]\) \(230400\) \(0.99382\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 179520.j1 has rank \(1\).

Complex multiplication

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

Modular form 179520.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} - q^{11} + q^{15} + q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display