Properties

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

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 14440.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14440.k1 14440f1 \([0, -1, 0, -173761, 18032565]\) \(369664/125\) \(196194120249632000\) \([]\) \(147744\) \(2.0204\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14440.k1 has rank \(1\).

Complex multiplication

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

Modular form 14440.2.a.k

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