Properties

Label 14700.j
Number of curves $1$
Conductor $14700$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 14700.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14700.j1 14700c1 \([0, -1, 0, 51042, 2087037]\) \(800000/567\) \(-10422966093750000\) \([]\) \(69120\) \(1.7620\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14700.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14700.j do not have complex multiplication.

Modular form 14700.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - q^{11} - 2 q^{13} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display