Properties

Label 440818a
Number of curves $1$
Conductor $440818$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 440818a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
440818.a1 440818a1 \([1, -1, 0, -112903, -14571203]\) \(116262290148949233/22166953984\) \(30346560004096\) \([]\) \(5840640\) \(1.5879\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 440818a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 440818a do not have complex multiplication.

Modular form 440818.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} - 3 q^{3} + q^{4} + 3 q^{5} + 3 q^{6} - q^{7} - q^{8} + 6 q^{9} - 3 q^{10} + 4 q^{11} - 3 q^{12} - 4 q^{13} + q^{14} - 9 q^{15} + q^{16} + 4 q^{17} - 6 q^{18} + O(q^{20})\) Copy content Toggle raw display