Properties

Label 121242.bb
Number of curves $1$
Conductor $121242$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 121242.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121242.bb1 121242z1 \([1, 1, 1, 68181, -2150631]\) \(19785968032823/12608077824\) \(-22335978957963264\) \([]\) \(1192320\) \(1.8261\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121242.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 121242.bb do not have complex multiplication.

Modular form 121242.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + 3 q^{5} - q^{6} - 3 q^{7} + q^{8} + q^{9} + 3 q^{10} - q^{12} - 2 q^{13} - 3 q^{14} - 3 q^{15} + q^{16} + q^{18} + O(q^{20})\) Copy content Toggle raw display