Properties

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

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Show commands: SageMath
E = EllipticCurve("df1")
 
E.isogeny_class()
 

Elliptic curves in class 179520df

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
179520.ef1 179520df1 \([0, -1, 0, -10972145, -16411920975]\) \(-8916171784936232672464/1945376358587578125\) \(-31873046259098880000000\) \([]\) \(22364160\) \(3.0388\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 179520df1 has rank \(1\).

Complex multiplication

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

Modular form 179520.2.a.df

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