Properties

Label 5850bx
Number of curves $1$
Conductor $5850$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bx1")
 
E.isogeny_class()
 

Elliptic curves in class 5850bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5850.by1 5850bx1 \([1, -1, 1, 445, -6303]\) \(34295/78\) \(-22211718750\) \([]\) \(6720\) \(0.66941\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5850bx1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5850bx do not have complex multiplication.

Modular form 5850.2.a.bx

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 4 q^{7} + q^{8} - 4 q^{11} - q^{13} + 4 q^{14} + q^{16} - 4 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display