Properties

Label 3920.z
Number of curves $1$
Conductor $3920$
CM no
Rank $0$

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

Elliptic curves in class 3920.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3920.z1 3920bb1 \([0, 1, 0, 915, -2185]\) \(8192/5\) \(-51652616960\) \([]\) \(2688\) \(0.74484\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3920.z1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3920.z do not have complex multiplication.

Modular form 3920.2.a.z

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 2q^{9} + q^{11} + 5q^{13} + q^{15} - q^{17} - 6q^{19} + O(q^{20})\)  Toggle raw display