Properties

Label 320790.a
Number of curves $1$
Conductor $320790$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 320790.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
320790.a1 320790a1 \([1, 1, 0, -662538, -382275108]\) \(-271216945817/374625000\) \(-44425983232688625000\) \([]\) \(12220416\) \(2.4625\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 320790.a1 has rank \(0\).

Complex multiplication

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

Modular form 320790.2.a.a

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