Properties

Label 19600x
Number of curves 1
Conductor 19600
CM no
Rank 0

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("19600.r1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 19600x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
19600.r1 19600x1 [0, 1, 0, -1388, -47657] [] 23040 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600x1 has rank \(0\).

Modular form 19600.2.a.r

sage: E.q_eigenform(10)
 
\( q - 2q^{3} + q^{9} - q^{11} + 4q^{13} + 6q^{19} + O(q^{20}) \)