Properties

Label 118580bf
Number of curves $1$
Conductor $118580$
CM no
Rank $1$

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

Elliptic curves in class 118580bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
118580.b1 118580bf1 [0, 0, 0, 189728, 96784996] [] 3427200 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 118580bf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 118580bf do not have complex multiplication.

Modular form 118580.2.a.bf

sage: E.q_eigenform(10)
 
\( q - 3q^{3} + q^{5} + 6q^{9} - 3q^{13} - 3q^{15} - q^{17} + 6q^{19} + O(q^{20}) \)