Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 14784.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14784.u1 14784ca1 \([0, -1, 0, 55, -8511]\) \(17643776/30438639\) \(-31169166336\) \([]\) \(11520\) \(0.69253\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14784.u1 has rank \(0\).

Complex multiplication

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

Modular form 14784.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} + q^{9} + q^{11} + q^{13} - q^{15} + 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display