Properties

Label 162240.gp
Number of curves $1$
Conductor $162240$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("gp1")
 
E.isogeny_class()
 

Elliptic curves in class 162240.gp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162240.gp1 162240c1 \([0, 1, 0, -71205, -11238525]\) \(-504871936/394875\) \(-31227677964288000\) \([]\) \(1290240\) \(1.8636\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162240.gp1 has rank \(0\).

Complex multiplication

The elliptic curves in class 162240.gp do not have complex multiplication.

Modular form 162240.2.a.gp

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