Properties

Label 47096.g
Number of curves $1$
Conductor $47096$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 47096.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47096.g1 47096j1 \([0, -1, 0, -235760, -126026996]\) \(-1682/7\) \(-6031258896591681536\) \([]\) \(570720\) \(2.2888\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47096.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 47096.g do not have complex multiplication.

Modular form 47096.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} - 2q^{9} - 4q^{11} - 5q^{13} - q^{15} - 4q^{17} + q^{19} + O(q^{20})\)  Toggle raw display