Properties

Label 21660.ba
Number of curves $1$
Conductor $21660$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 21660.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21660.ba1 21660be1 \([0, 1, 0, 9190, -6440475]\) \(14859212843264/3113912109375\) \(-17985956343750000\) \([]\) \(126360\) \(1.7983\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21660.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 21660.ba do not have complex multiplication.

Modular form 21660.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 2 q^{7} + q^{9} - 2 q^{11} + q^{15} + q^{17} + O(q^{20})\) Copy content Toggle raw display