Properties

Label 102550t
Number of curves 1
Conductor 102550
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("102550.v1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 102550t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
102550.v1 102550t1 [1, 0, 0, 287, 7417] [] 107520 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550t1 has rank \(1\).

Modular form 102550.2.a.v

sage: E.q_eigenform(10)
 
\( q + q^{2} + q^{3} + q^{4} + q^{6} - q^{7} + q^{8} - 2q^{9} - 6q^{11} + q^{12} + 3q^{13} - q^{14} + q^{16} + 4q^{17} - 2q^{18} - 8q^{19} + O(q^{20}) \)