Properties

Label 14400.d
Number of curves 1
Conductor 14400
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("14400.d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 14400.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
14400.d1 14400ei1 [0, 0, 0, -210000, 44300000] [] 215040 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14400.d1 has rank \(1\).

Modular form 14400.2.a.d

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