Properties

Label 248773c
Number of curves 1
Conductor 248773
CM no
Rank 0

Related objects

Downloads

Learn more about

Show commands for: SageMath

sage: E = EllipticCurve("248773.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 248773c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
248773.c1 248773c1 [0, 0, 1, -343, -2144] [] 571392 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 248773c1 has rank \(0\).

Modular form 248773.2.a.c

sage: E.q_eigenform(10)
 
\( q - 2q^{2} + 3q^{3} + 2q^{4} + 4q^{5} - 6q^{6} + 6q^{9} - 8q^{10} - 6q^{11} + 6q^{12} + 4q^{13} + 12q^{15} - 4q^{16} + 4q^{17} - 12q^{18} + 7q^{19} + O(q^{20}) \)