Properties

Label 208080.bp
Number of curves $1$
Conductor $208080$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bp1")
 
E.isogeny_class()
 

Elliptic curves in class 208080.bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
208080.bp1 208080cd1 \([0, 0, 0, -2019243, 2616044762]\) \(-43713001/116640\) \(-2429552892446297948160\) \([]\) \(7050240\) \(2.7910\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 208080.bp1 has rank \(0\).

Complex multiplication

The elliptic curves in class 208080.bp do not have complex multiplication.

Modular form 208080.2.a.bp

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} + q^{11} + 3 q^{13} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display