Properties

Label 224400.g
Number of curves 1
Conductor 224400
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("224400.g1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 224400.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
224400.g1 224400hp1 [0, -1, 0, -1633, -101363] [] 614400 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 224400.g1 has rank \(1\).

Modular form 224400.2.a.g

sage: E.q_eigenform(10)
 
\( q - q^{3} - 5q^{7} + q^{9} + q^{11} + 2q^{13} + q^{17} + 6q^{19} + O(q^{20}) \)