Properties

Label 142800dt
Number of curves 1
Conductor 142800
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("142800.dj1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 142800dt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
142800.dj1 142800dt1 [0, -1, 0, -1903940533, -31980867474563] [] 72576000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142800dt1 has rank \(1\).

Modular form 142800.2.a.dj

sage: E.q_eigenform(10)
 
\( q - q^{3} + q^{7} + q^{9} - 2q^{11} + 5q^{13} - q^{17} - 2q^{19} + O(q^{20}) \)