Properties

Label 463680jl
Number of curves $1$
Conductor $463680$
CM no
Rank $1$

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

Elliptic curves in class 463680jl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
463680.jl1 463680jl1 \([0, 0, 0, -74575632, 247881165856]\) \(-3840316976122235063296/27784071875\) \(-331851176294400000\) \([]\) \(34560000\) \(2.9584\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 463680jl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 463680jl do not have complex multiplication.

Modular form 463680.2.a.jl

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} + q^{11} - 5 q^{13} + 7 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display