Properties

Label 177600.n
Number of curves $1$
Conductor $177600$
CM no
Rank $1$

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

Elliptic curves in class 177600.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177600.n1 177600cj1 \([0, -1, 0, -2433, 21537]\) \(19450850/8991\) \(736542720000\) \([]\) \(261120\) \(0.97176\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177600.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 177600.n do not have complex multiplication.

Modular form 177600.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} + q^{9} + 6 q^{11} - q^{13} - q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display