Properties

Label 225600.n
Number of curves $1$
Conductor $225600$
CM no
Rank $1$

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

Elliptic curves in class 225600.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
225600.n1 225600dh1 \([0, -1, 0, -1233, -5913]\) \(207474688/102789\) \(102789000000\) \([]\) \(241920\) \(0.80603\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 225600.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 225600.n do not have complex multiplication.

Modular form 225600.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} - 5 q^{11} + 2 q^{13} + 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display