Properties

Label 4248019.a
Number of curves $1$
Conductor $4248019$
CM no
Rank $4$

Related objects

Downloads

Learn more

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

Elliptic curves in class 4248019.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
4248019.a1 \([0, 1, 1, 9, -96]\) \(71991296/4248019\) \(-4248019\) \([]\) \(773088\) \(-0.048527\)

Rank

sage: E.rank()
 

The elliptic curve 4248019.a1 has rank \(4\).

Complex multiplication

The elliptic curves in class 4248019.a do not have complex multiplication.

Modular form 4248019.2.a.a

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