Properties

Label 55470.g
Number of curves $1$
Conductor $55470$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 55470.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
55470.g1 55470f1 \([1, 0, 1, -110979, -122464844]\) \(-12932809/546750\) \(-6390523501778346750\) \([]\) \(1061928\) \(2.2885\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55470.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 55470.g do not have complex multiplication.

Modular form 55470.2.a.g

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