Properties

Label 89232.n
Number of curves $1$
Conductor $89232$
CM no
Rank $1$

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

Elliptic curves in class 89232.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
89232.n1 89232bj1 \([0, -1, 0, -15318216, 22970458224]\) \(703971110401/3897234\) \(2200644819446356647936\) \([]\) \(6259968\) \(2.9381\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 89232.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 89232.n do not have complex multiplication.

Modular form 89232.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 2 q^{7} + q^{9} + q^{11} + q^{15} + 7 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display