Properties

Label 320790.z
Number of curves $1$
Conductor $320790$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 320790.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
320790.z1 320790z1 \([1, 0, 1, 26726, 2951966]\) \(87469256519/206343450\) \(-4980629262073050\) \([]\) \(2138112\) \(1.6960\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 320790.z1 has rank \(2\).

Complex multiplication

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

Modular form 320790.2.a.z

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