Properties

Label 453152n
Number of curves $1$
Conductor $453152$
CM no
Rank $1$

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

Elliptic curves in class 453152n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
453152.n1 453152n1 \([0, -1, 0, -5553, 153889]\) \(136000/7\) \(974864084992\) \([]\) \(442368\) \(1.0582\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 453152n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 453152n do not have complex multiplication.

Modular form 453152.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{9} + 6 q^{13} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display