Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 14440n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14440.a1 14440n1 \([0, 0, 0, -24187, -6351434]\) \(-16241202/171475\) \(-16521610126284800\) \([]\) \(172800\) \(1.7941\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14440n1 has rank \(0\).

Complex multiplication

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

Modular form 14440.2.a.n

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} - q^{7} + 6 q^{9} + 4 q^{11} - q^{13} - 3 q^{15} - 7 q^{17} + O(q^{20})\) Copy content Toggle raw display