Properties

Label 2800.u
Number of curves $1$
Conductor $2800$
CM no
Rank $0$

Related objects

Downloads

Learn more about

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

Elliptic curves in class 2800.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2800.u1 2800j1 \([0, 1, 0, 7, -157]\) \(1024/343\) \(-10976000\) \([]\) \(384\) \(0.030070\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2800.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2800.u do not have complex multiplication.

Modular form 2800.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} - 2q^{9} + q^{11} + q^{13} + 3q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display