Properties

Label 185130.y
Number of curves $1$
Conductor $185130$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 185130.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185130.y1 185130ek1 \([1, -1, 0, -601695, 183290575]\) \(-14014952531/318750\) \(-547913357523056250\) \([]\) \(2449920\) \(2.1916\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185130.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 185130.y do not have complex multiplication.

Modular form 185130.2.a.y

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