Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 440818.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
440818.h1 440818h1 \([1, 0, 1, -502230, 135960552]\) \(10233565516131336577/85420260814336\) \(116940337054825984\) \([]\) \(7838208\) \(2.1008\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 440818.h1 has rank \(0\).

Complex multiplication

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

Modular form 440818.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 3 q^{5} - q^{6} + q^{7} - q^{8} - 2 q^{9} + 3 q^{10} + q^{12} - 4 q^{13} - q^{14} - 3 q^{15} + q^{16} + 4 q^{17} + 2 q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display