Properties

Label 37905.n
Number of curves $1$
Conductor $37905$
CM no
Rank $0$

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

Elliptic curves in class 37905.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37905.n1 37905i1 \([1, 1, 0, -11977, -509534]\) \(-526401738615601/65625\) \(-23690625\) \([]\) \(36000\) \(0.83306\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37905.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 37905.n do not have complex multiplication.

Modular form 37905.2.a.n

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} + q^{5} - q^{6} + q^{7} - 3 q^{8} + q^{9} + q^{10} - 4 q^{11} + q^{12} - q^{13} + q^{14} - q^{15} - q^{16} + 2 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display