Properties

Label 51600br
Number of curves $1$
Conductor $51600$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("br1")
 
E.isogeny_class()
 

Elliptic curves in class 51600br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51600.v1 51600br1 \([0, -1, 0, -18008, -1705488]\) \(-10091699281/13932000\) \(-891648000000000\) \([]\) \(276480\) \(1.5611\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51600br1 has rank \(0\).

Complex multiplication

The elliptic curves in class 51600br do not have complex multiplication.

Modular form 51600.2.a.br

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + 4 q^{11} + 5 q^{13} + 8 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display