Properties

Label 350658bo
Number of curves $1$
Conductor $350658$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bo1")
 
E.isogeny_class()
 

Elliptic curves in class 350658bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350658.bo1 350658bo1 \([1, -1, 0, -20466, -1190700]\) \(-977077413467/71221248\) \(-69105905713152\) \([]\) \(967680\) \(1.4049\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350658bo1 has rank \(1\).

Complex multiplication

The elliptic curves in class 350658bo do not have complex multiplication.

Modular form 350658.2.a.bo

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 2 q^{5} - q^{7} - q^{8} - 2 q^{10} + q^{13} + q^{14} + q^{16} + 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display