Properties

Label 102550.i
Number of curves 1
Conductor 102550
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("102550.i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 102550.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
102550.i1 102550n1 [1, 1, 0, -1992595, 1081791725] [] 919296 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550.i1 has rank \(1\).

Modular form 102550.2.a.i

sage: E.q_eigenform(10)
 
\( q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} - 2q^{9} - q^{12} + 2q^{13} - q^{14} + q^{16} + 3q^{17} + 2q^{18} + O(q^{20}) \)