Properties

Label 432450.n
Number of curves $1$
Conductor $432450$
CM no
Rank $1$

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

Elliptic curves in class 432450.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
432450.n1 432450n1 \([1, -1, 0, 21077433, 20436593341]\) \(102437538839/77137920\) \(-779804328307410720000000\) \([]\) \(81100800\) \(3.2726\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 432450.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 432450.n do not have complex multiplication.

Modular form 432450.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{7} - q^{8} + 3 q^{11} - 2 q^{13} + 3 q^{14} + q^{16} - 8 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display