Properties

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

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Show commands: SageMath
E = EllipticCurve("cf1")
 
E.isogeny_class()
 

Elliptic curves in class 320790.cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
320790.cf1 320790cf1 \([1, 1, 1, -81215, 11680805]\) \(-2454365649169/1035763200\) \(-25000805707660800\) \([]\) \(4822272\) \(1.8543\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 320790.cf1 has rank \(0\).

Complex multiplication

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

Modular form 320790.2.a.cf

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