Properties

Label 140790.i
Number of curves $1$
Conductor $140790$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 140790.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
140790.i1 140790cy1 \([1, 1, 0, -24403, 1458733]\) \(-234325944477451/291133440\) \(-1996884264960\) \([]\) \(665280\) \(1.2695\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 140790.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 140790.i do not have complex multiplication.

Modular form 140790.2.a.i

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