Properties

Label 141610cj
Number of curves $1$
Conductor $141610$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cj1")
 
E.isogeny_class()
 

Elliptic curves in class 141610cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141610.ba1 141610cj1 \([1, 0, 1, -66043, -17382074]\) \(-26934258841/94699520\) \(-112004993715077120\) \([]\) \(1105920\) \(1.9574\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141610cj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 141610cj do not have complex multiplication.

Modular form 141610.2.a.cj

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