Properties

Label 5472.n
Number of curves $1$
Conductor $5472$
CM no
Rank $1$

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

Elliptic curves in class 5472.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5472.n1 5472k1 \([0, 0, 0, 168, 3152]\) \(175616/1539\) \(-4595429376\) \([]\) \(2048\) \(0.53533\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5472.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5472.n do not have complex multiplication.

Modular form 5472.2.a.n

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} - 3 q^{11} + 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display