Properties

Label 176400jl
Number of curves $1$
Conductor $176400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("jl1")
 
E.isogeny_class()
 

Elliptic curves in class 176400jl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.cf1 176400jl1 \([0, 0, 0, 284445, 167531490]\) \(10733445/57344\) \(-13597763169366835200\) \([]\) \(4313088\) \(2.3535\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400jl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 176400jl do not have complex multiplication.

Modular form 176400.2.a.jl

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