Properties

Label 39883.a
Number of curves $1$
Conductor $39883$
CM no
Rank $3$

Related objects

Downloads

Learn more

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

Elliptic curves in class 39883.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39883.a1 39883a1 \([0, 1, 1, -14, 18]\) \(-325660672/39883\) \(-39883\) \([]\) \(6200\) \(-0.38237\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39883.a1 has rank \(3\).

Complex multiplication

The elliptic curves in class 39883.a do not have complex multiplication.

Modular form 39883.2.a.a

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} - 2 q^{3} + 2 q^{4} - 2 q^{5} + 4 q^{6} - 2 q^{7} + q^{9} + 4 q^{10} - q^{11} - 4 q^{12} - 6 q^{13} + 4 q^{14} + 4 q^{15} - 4 q^{16} - 5 q^{17} - 2 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display