Properties

Label 329742.j
Number of curves $1$
Conductor $329742$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 329742.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
329742.j1 329742j1 \([1, -1, 1, -2034800, -1116690477]\) \(34508408842474480159875/919174144\) \(24817701888\) \([]\) \(3223680\) \(1.9592\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 329742.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 329742.j do not have complex multiplication.

Modular form 329742.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{7} + q^{8} + 3 q^{11} + 6 q^{13} + q^{14} + q^{16} + 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display