Properties

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

Related objects

Downloads

Learn more

Show commands for: SageMath
sage: E = EllipticCurve("bq1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 51600.bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51600.bq1 51600j1 \([0, -1, 0, 132, 55152]\) \(39443120/205667667\) \(-1316273068800\) \([]\) \(59136\) \(1.0044\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51600.bq1 has rank \(0\).

Complex multiplication

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

Modular form 51600.2.a.bq

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