Properties

Label 101150y
Number of curves $1$
Conductor $101150$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 101150y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101150.be1 101150y1 \([1, 0, 1, -1394576, -534967202]\) \(2751936625/458752\) \(50002229337088000000\) \([]\) \(2820096\) \(2.5011\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101150y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 101150y do not have complex multiplication.

Modular form 101150.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} + q^{7} - q^{8} - 2 q^{9} + 4 q^{11} + q^{12} + 2 q^{13} - q^{14} + q^{16} + 2 q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display