Properties

Label 14440.i
Number of curves $1$
Conductor $14440$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 14440.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14440.i1 14440i1 \([0, 1, 0, -880, -10400]\) \(-102053522/625\) \(-462080000\) \([]\) \(7488\) \(0.50152\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14440.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 14440.i do not have complex multiplication.

Modular form 14440.2.a.i

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 2 q^{7} - 2 q^{9} + 5 q^{11} - 6 q^{13} + q^{15} - 6 q^{17} + O(q^{20})\) Copy content Toggle raw display