Properties

Label 9680.u
Number of curves $1$
Conductor $9680$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 9680.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9680.u1 9680v1 \([0, 1, 0, -377560, 96850708]\) \(-616295051/64000\) \(-618121839509504000\) \([]\) \(114048\) \(2.1530\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9680.u1 has rank \(1\).

Complex multiplication

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

Modular form 9680.2.a.u

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