Properties

Label 1600.a
Number of curves $1$
Conductor $1600$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 1600.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1600.a1 1600h1 \([0, 0, 0, 20, -80]\) \(270\) \(-3276800\) \([]\) \(384\) \(-0.066947\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1600.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1600.a do not have complex multiplication.

Modular form 1600.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 2 q^{7} + 6 q^{9} - q^{11} + 4 q^{13} - 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display