Properties

Label 8880.z
Number of curves $1$
Conductor $8880$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("z1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8880.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8880.z1 8880bc1 \([0, 1, 0, 3240, 37908]\) \(918046641959/674325000\) \(-2762035200000\) \([]\) \(17280\) \(1.0755\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8880.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8880.z do not have complex multiplication.

Modular form 8880.2.a.z

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 3q^{7} + q^{9} + 5q^{11} - 2q^{13} + q^{15} - 7q^{17} + 2q^{19} + O(q^{20})\)  Toggle raw display