Properties

Label 54150.f
Number of curves $1$
Conductor $54150$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 54150.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54150.f1 54150d1 \([1, 1, 0, 715, 399255]\) \(95/162\) \(-68783430316050\) \([]\) \(164160\) \(1.3341\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54150.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54150.f do not have complex multiplication.

Modular form 54150.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - 2 q^{7} - q^{8} + q^{9} + 5 q^{11} - q^{12} + 2 q^{14} + q^{16} - q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display