Properties

Label 504299.a
Number of curves $1$
Conductor $504299$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 504299.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
504299.a1 \([0, 1, 1, -4, -36]\) \(-8998912/504299\) \(-504299\) \([]\) \(93911\) \(-0.22588\)

Rank

sage: E.rank()
 

The elliptic curve 504299.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 504299.a do not have complex multiplication.

Modular form 504299.2.a.a

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