Properties

Label 479808.fq
Number of curves $1$
Conductor $479808$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fq1")
 
E.isogeny_class()
 

Elliptic curves in class 479808.fq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479808.fq1 479808fq1 \([0, 0, 0, -588, -47824]\) \(-392/17\) \(-975031271424\) \([]\) \(387072\) \(0.98055\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 479808.fq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 479808.fq do not have complex multiplication.

Modular form 479808.2.a.fq

sage: E.q_eigenform(10)
 
\(q - q^{5} - 4 q^{11} - 2 q^{13} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display