Properties

Label 101150.a
Number of curves $1$
Conductor $101150$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 101150.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101150.a1 101150i1 \([1, -1, 0, 88958, -3495884]\) \(206425071/133280\) \(-50266487442500000\) \([]\) \(1658880\) \(1.8936\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101150.a1 has rank \(1\).

Complex multiplication

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

Modular form 101150.2.a.a

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