Properties

Label 229320.g
Number of curves $1$
Conductor $229320$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 229320.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.g1 229320by1 \([0, 0, 0, -57918, -5365843]\) \(-767228471296/142155\) \(-3981088303920\) \([]\) \(634368\) \(1.4201\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 229320.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 229320.g do not have complex multiplication.

Modular form 229320.2.a.g

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