Properties

Label 4225.n
Number of curves $1$
Conductor $4225$
CM no
Rank $0$

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

Elliptic curves in class 4225.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4225.n1 4225d1 \([1, 1, 0, 10, 5]\) \(1715\) \(-54925\) \([]\) \(432\) \(-0.40109\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4225.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4225.n do not have complex multiplication.

Modular form 4225.2.a.n

sage: E.q_eigenform(10)
 
\(q + q^{2} + 2 q^{3} - q^{4} + 2 q^{6} + 5 q^{7} - 3 q^{8} + q^{9} - 3 q^{11} - 2 q^{12} + 5 q^{14} - q^{16} + 5 q^{17} + q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display