Properties

Label 10830.u
Number of curves $1$
Conductor $10830$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 10830.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10830.u1 10830r1 \([1, 1, 1, 4144, -212911]\) \(463391/1440\) \(-24456330779040\) \([]\) \(27360\) \(1.2523\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10830.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10830.u do not have complex multiplication.

Modular form 10830.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} + 3 q^{7} + q^{8} + q^{9} - q^{10} + q^{11} - q^{12} + 2 q^{13} + 3 q^{14} + q^{15} + q^{16} + 2 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display