Properties

Label 25872.n
Number of curves $1$
Conductor $25872$
CM no
Rank $1$

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

Elliptic curves in class 25872.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25872.n1 25872bj1 \([0, -1, 0, -23046, -1524753]\) \(-719152519936/122762871\) \(-231086864164464\) \([]\) \(59904\) \(1.4826\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25872.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25872.n do not have complex multiplication.

Modular form 25872.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - q^{11} + q^{13} + q^{15} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display