Properties

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

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

Elliptic curves in class 9680a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9680.i1 9680a1 \([0, -1, 0, 224, -22240]\) \(453962/78125\) \(-212960000000\) \([]\) \(8064\) \(0.85297\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 9680.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 3 q^{7} - 2 q^{9} + 4 q^{13} + q^{15} - 3 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display