Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9680.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9680.a1 9680i1 \([0, 0, 0, -8107, -300806]\) \(-16241202/1375\) \(-4988715776000\) \([]\) \(34560\) \(1.1815\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9680.a1 has rank \(1\).

Complex multiplication

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

Modular form 9680.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} + q^{7} + 6 q^{9} + 6 q^{13} - 3 q^{15} - 3 q^{17} - 5 q^{19} + O(q^{20})\)  Toggle raw display