Properties

Label 8820.i
Number of curves $1$
Conductor $8820$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8820.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8820.i1 8820k1 \([0, 0, 0, 8232, -67228]\) \(8192/5\) \(-37654757763840\) \([]\) \(20160\) \(1.2942\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8820.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8820.i do not have complex multiplication.

Modular form 8820.2.a.i

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