Properties

Label 320790n
Number of curves $1$
Conductor $320790$
CM no
Rank $1$

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

Elliptic curves in class 320790n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
320790.n1 320790n1 \([1, 1, 0, -2593347, -1675755009]\) \(-276512326111801/13662633690\) \(-95307218626674787290\) \([]\) \(14335488\) \(2.5950\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 320790n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 320790n do not have complex multiplication.

Modular form 320790.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + q^{7} - q^{8} + q^{9} - q^{10} + q^{11} - q^{12} - 5 q^{13} - q^{14} - q^{15} + q^{16} - q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display