Properties

Label 161700cj
Number of curves $1$
Conductor $161700$
CM no
Rank $1$

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

Elliptic curves in class 161700cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
161700.dt1 161700cj1 \([0, 1, 0, -26133, -14920137]\) \(-205520896/9882675\) \(-94913210700000000\) \([]\) \(1244160\) \(1.9376\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 161700cj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 161700cj do not have complex multiplication.

Modular form 161700.2.a.cj

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} - q^{11} + 5 q^{13} - 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display