Properties

Label 140790cw
Number of curves $1$
Conductor $140790$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cw1")
 
E.isogeny_class()
 

Elliptic curves in class 140790cw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
140790.g1 140790cw1 \([1, 1, 0, -816371183, 8990312572773]\) \(-3542891920428677761369/5782903326720000\) \(-98214303209357739755520000\) \([]\) \(60060672\) \(3.8842\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 140790cw1 has rank \(2\).

Complex multiplication

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

Modular form 140790.2.a.cw

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