Properties

Label 3525.n
Number of curves $1$
Conductor $3525$
CM no
Rank $0$

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

Elliptic curves in class 3525.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3525.n1 3525n1 \([0, 1, 1, 292, 1619]\) \(7024640/6627\) \(-2588671875\) \([]\) \(2040\) \(0.49337\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3525.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3525.n do not have complex multiplication.

Modular form 3525.2.a.n

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + q^{3} + 2 q^{4} + 2 q^{6} + q^{7} + q^{9} + 4 q^{11} + 2 q^{12} - q^{13} + 2 q^{14} - 4 q^{16} + 4 q^{17} + 2 q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display