Properties

Label 14784bt
Number of curves $1$
Conductor $14784$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 14784bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14784.j1 14784bt1 \([0, -1, 0, -1881, 36369]\) \(-719152519936/122762871\) \(-125709179904\) \([]\) \(9984\) \(0.85624\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14784bt1 has rank \(1\).

Complex multiplication

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

Modular form 14784.2.a.bt

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