Properties

Label 17424cj
Number of curves $1$
Conductor $17424$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cj1")
 
E.isogeny_class()
 

Elliptic curves in class 17424cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17424.c1 17424cj1 \([0, 0, 0, 63888, -1171280]\) \(45056/27\) \(-17281949100945408\) \([]\) \(126720\) \(1.8050\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17424cj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 17424cj do not have complex multiplication.

Modular form 17424.2.a.cj

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} - q^{7} - 2 q^{13} - 4 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display