Properties

Label 54450.g
Number of curves $1$
Conductor $54450$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 54450.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54450.g1 54450cp1 \([1, -1, 0, 4872708, 6290465616]\) \(43307231/82944\) \(-24505263764231184000000\) \([]\) \(5913600\) \(2.9807\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54450.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54450.g do not have complex multiplication.

Modular form 54450.2.a.g

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