Properties

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

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 479808.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479808.bf1 479808bf1 \([0, 0, 0, -521724, -143426864]\) \(26835062456272/345025251\) \(201927016300068864\) \([]\) \(6451200\) \(2.1290\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 479808.bf1 has rank \(1\).

Complex multiplication

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

Modular form 479808.2.a.bf

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - 2 q^{11} - 3 q^{13} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display