Properties

Label 63525.n
Number of curves $1$
Conductor $63525$
CM no
Rank $1$

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

Elliptic curves in class 63525.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63525.n1 63525s1 \([1, 1, 1, -190638, -881409594]\) \(-3025/1323\) \(-335109499483623046875\) \([]\) \(3041280\) \(2.6175\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63525.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 63525.n do not have complex multiplication.

Modular form 63525.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} + q^{6} + q^{7} + 3 q^{8} + q^{9} + q^{12} - 5 q^{13} - q^{14} - q^{16} + 8 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display