Properties

Label 273273bb
Number of curves $1$
Conductor $273273$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 273273bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
273273.bb1 273273bb1 \([0, 1, 1, 5521, 23846]\) \(5537792/3267\) \(-10977685481763\) \([]\) \(489888\) \(1.1916\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 273273bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 273273bb do not have complex multiplication.

Modular form 273273.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} - 2 q^{5} + q^{9} - q^{11} - 2 q^{12} - 2 q^{15} + 4 q^{16} - 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display