Properties

Label 145794.bf
Number of curves $1$
Conductor $145794$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 145794.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145794.bf1 145794n1 \([1, 1, 1, -1678886, 1183105571]\) \(-48551226272641/28067094528\) \(-302541255576709619712\) \([]\) \(11022336\) \(2.6327\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145794.bf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 145794.bf do not have complex multiplication.

Modular form 145794.2.a.bf

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + 4 q^{5} - q^{6} + 2 q^{7} + q^{8} + q^{9} + 4 q^{10} + q^{11} - q^{12} + 2 q^{14} - 4 q^{15} + q^{16} + 5 q^{17} + q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display