Properties

Label 57330.n
Number of curves $1$
Conductor $57330$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 57330.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
57330.n1 57330n1 \([1, -1, 0, -16006545, 116325872221]\) \(-107920681386000721/1328441886720000\) \(-5582830072296894842880000\) \([]\) \(13547520\) \(3.4303\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 57330.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 57330.n do not have complex multiplication.

Modular form 57330.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} - q^{11} - q^{13} + q^{16} - 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display