Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8820.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8820.w1 8820t1 \([0, 0, 0, -3087, 129654]\) \(-3024/5\) \(-5379251109120\) \([]\) \(14112\) \(1.1337\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8820.w1 has rank \(0\).

Complex multiplication

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

Modular form 8820.2.a.w

sage: E.q_eigenform(10)
 
\(q + q^{5} + 2q^{11} - 6q^{13} - 2q^{17} + O(q^{20})\)  Toggle raw display