Properties

Label 8280.u
Number of curves $1$
Conductor $8280$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("u1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8280.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8280.u1 8280n1 \([0, 0, 0, -1812, -29756]\) \(-3525581824/9315\) \(-1738402560\) \([]\) \(6144\) \(0.64805\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8280.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8280.u do not have complex multiplication.

Modular form 8280.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{5} + 3 q^{7} + 6 q^{11} - 2 q^{13} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display