Properties

Label 154560fg
Number of curves $1$
Conductor $154560$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("fg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 154560fg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
154560.fw1 154560fg1 \([0, 1, 0, -4501, -117901]\) \(-615640662016/978075\) \(-16024780800\) \([]\) \(168960\) \(0.85609\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 154560fg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 154560fg do not have complex multiplication.

Modular form 154560.2.a.fg

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} + q^{9} + q^{11} - 4q^{13} - q^{15} + 6q^{17} - 7q^{19} + O(q^{20})\)  Toggle raw display