Properties

Label 29744u
Number of curves $1$
Conductor $29744$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 29744u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29744.j1 29744u1 \([0, 1, 0, -56, -428]\) \(-28561/88\) \(-60915712\) \([]\) \(12096\) \(0.18041\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29744u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 29744u do not have complex multiplication.

Modular form 29744.2.a.u

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + 4 q^{5} - 2 q^{7} + q^{9} - q^{11} - 8 q^{15} + 8 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display