Properties

Label 481338.g
Number of curves $1$
Conductor $481338$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 481338.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
481338.g1 481338g1 \([1, -1, 0, 541483992, -405536586944]\) \(10214541635172355837/5952497079140352\) \(-10232008345970119964965552128\) \([]\) \(308689920\) \(4.0640\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 481338.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 481338.g do not have complex multiplication.

Modular form 481338.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 2 q^{5} - 3 q^{7} - q^{8} + 2 q^{10} - q^{13} + 3 q^{14} + q^{16} - q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display