Properties

Label 47190.g
Number of curves $1$
Conductor $47190$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 47190.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47190.g1 47190e1 \([1, 1, 0, -7383, 385983]\) \(-3040489341769/2706725970\) \(-39629174926770\) \([]\) \(141120\) \(1.3063\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47190.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 47190.g do not have complex multiplication.

Modular form 47190.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + 2q^{7} - q^{8} + q^{9} + q^{10} - q^{12} + q^{13} - 2q^{14} + q^{15} + q^{16} + 2q^{17} - q^{18} + O(q^{20})\)  Toggle raw display