Properties

Label 161840.a
Number of curves $1$
Conductor $161840$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 161840.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
161840.a1 161840by1 \([0, 0, 0, -119068, -16291508]\) \(-30211716096/1071875\) \(-6623348933600000\) \([]\) \(2112000\) \(1.8081\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 161840.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 161840.a do not have complex multiplication.

Modular form 161840.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{5} + q^{7} + 6 q^{9} - 5 q^{11} - 5 q^{13} + 3 q^{15} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display