Properties

Label 379050.js
Number of curves $1$
Conductor $379050$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("js1")
 
E.isogeny_class()
 

Elliptic curves in class 379050.js

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.js1 379050js1 \([1, 0, 0, 52157, 92499827]\) \(389017/91854\) \(-3705019473974033250\) \([]\) \(7198720\) \(2.2422\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050.js1 has rank \(1\).

Complex multiplication

The elliptic curves in class 379050.js do not have complex multiplication.

Modular form 379050.2.a.js

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + q^{7} + q^{8} + q^{9} + q^{11} + q^{12} + q^{13} + q^{14} + q^{16} - 3 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display