Properties

Label 119952.cj
Number of curves $1$
Conductor $119952$
CM no
Rank $1$

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

Elliptic curves in class 119952.cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.cj1 119952cn1 \([0, 0, 0, -21168, -1333584]\) \(-110592/17\) \(-161245796511744\) \([]\) \(345600\) \(1.4552\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952.cj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 119952.cj do not have complex multiplication.

Modular form 119952.2.a.cj

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