Properties

Label 374790.j
Number of curves $1$
Conductor $374790$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 374790.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
374790.j1 374790j1 \([1, 1, 0, -26041678, 68412389428]\) \(-73871239737079/33745920000\) \(-892229374264230712320000\) \([]\) \(61900800\) \(3.3022\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 374790.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 374790.j do not have complex multiplication.

Modular form 374790.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + q^{7} - q^{8} + q^{9} + q^{10} - 2 q^{11} - q^{12} - q^{13} - q^{14} + q^{15} + q^{16} + 3 q^{17} - q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display