Properties

Label 147294.bb
Number of curves $1$
Conductor $147294$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 147294.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
147294.bb1 147294cu1 \([1, -1, 0, -162003, 25133877]\) \(431567037693/85504\) \(93160659949056\) \([]\) \(1032192\) \(1.6794\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 147294.bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 147294.bb do not have complex multiplication.

Modular form 147294.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3 q^{5} - q^{8} - 3 q^{10} + 2 q^{13} + q^{16} - 6 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display