Properties

Label 9680x
Number of curves $1$
Conductor $9680$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 9680x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9680.w1 9680x1 \([0, 1, 0, -4880, 422420]\) \(-14641/80\) \(-70241118126080\) \([]\) \(25344\) \(1.3410\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9680x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9680x do not have complex multiplication.

Modular form 9680.2.a.x

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + 3 q^{7} - 2 q^{9} + q^{15} + 8 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display