Properties

Label 14784.k
Number of curves $1$
Conductor $14784$
CM no
Rank $0$

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

Elliptic curves in class 14784.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14784.k1 14784h1 \([0, -1, 0, -1, -23]\) \(-256/231\) \(-236544\) \([]\) \(1536\) \(-0.28981\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14784.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 14784.k do not have complex multiplication.

Modular form 14784.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} + q^{11} + 5 q^{13} + q^{15} - 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display