Properties

Label 53312.x
Number of curves $1$
Conductor $53312$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("53312.x1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 53312.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
53312.x1 53312bj1 [0, -1, 0, -14177, 817153] [] 129024 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53312.x1 has rank \(0\).

Modular form 53312.2.a.x

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