Properties

Label 338130.by
Number of curves $1$
Conductor $338130$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands for: SageMath
sage: E = EllipticCurve("by1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 338130.by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338130.by1 338130by1 \([1, -1, 0, -11529, -506655]\) \(-804441463921/66832740\) \(-14080388495940\) \([]\) \(967680\) \(1.2685\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130.by1 has rank \(1\).

Complex multiplication

The elliptic curves in class 338130.by do not have complex multiplication.

Modular form 338130.2.a.by

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} + 2q^{7} - q^{8} - q^{10} + 3q^{11} - q^{13} - 2q^{14} + q^{16} + 5q^{19} + O(q^{20})\)  Toggle raw display