Properties

Label 60333.p
Number of curves $1$
Conductor $60333$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 60333.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60333.p1 60333j1 \([0, 1, 1, -2422, -670913]\) \(-325660672/40000779\) \(-193076120084211\) \([]\) \(370944\) \(1.4206\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60333.p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 60333.p do not have complex multiplication.

Modular form 60333.2.a.p

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + q^{3} + 2 q^{4} - 3 q^{5} + 2 q^{6} - q^{7} + q^{9} - 6 q^{10} + 6 q^{11} + 2 q^{12} - 2 q^{14} - 3 q^{15} - 4 q^{16} - q^{17} + 2 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display