Properties

Label 26010.bg
Number of curves $1$
Conductor $26010$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 26010.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26010.bg1 26010bo1 \([1, -1, 1, -126203, -40844149]\) \(-43713001/116640\) \(-593152561632396960\) \([]\) \(293760\) \(2.0978\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26010.bg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 26010.bg do not have complex multiplication.

Modular form 26010.2.a.bg

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} + q^{7} + q^{8} - q^{10} - q^{11} + 3 q^{13} + q^{14} + q^{16} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display