Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 140790.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
140790.r1 140790ce1 \([1, 0, 1, 28486141, 160148154782]\) \(7922134004705549/38919195900000\) \(-12558745724380895906100000\) \([]\) \(45144000\) \(3.4983\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 140790.r1 has rank \(1\).

Complex multiplication

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

Modular form 140790.2.a.r

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