Properties

Label 122199d
Number of curves $1$
Conductor $122199$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 122199d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
122199.d1 122199d1 \([0, -1, 1, 7790936, -18564712212]\) \(29036351328256/99443033613\) \(-179112084656009518755819\) \([]\) \(24853248\) \(3.1449\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 122199d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 122199d do not have complex multiplication.

Modular form 122199.2.a.d

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} - q^{3} + 2 q^{4} + 3 q^{5} + 2 q^{6} - q^{7} + q^{9} - 6 q^{10} - q^{11} - 2 q^{12} - 6 q^{13} + 2 q^{14} - 3 q^{15} - 4 q^{16} - 2 q^{18} + O(q^{20})\) Copy content Toggle raw display