Properties

Label 2352.x
Number of curves $1$
Conductor $2352$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("2352.x1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 2352.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
2352.x1 2352f1 [0, 1, 0, -457, 10163] [] 2016 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2352.x1 has rank \(0\).

Modular form 2352.2.a.x

sage: E.q_eigenform(10)
 
\( q + q^{3} + 2q^{5} + q^{9} + 6q^{11} - 3q^{13} + 2q^{15} + 4q^{17} + 5q^{19} + O(q^{20}) \)