Properties

Label 323400n
Number of curves $1$
Conductor $323400$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 323400n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
323400.n1 323400n1 \([0, -1, 0, -20008, -13309988]\) \(-9604/825\) \(-76095373200000000\) \([]\) \(2193408\) \(1.9189\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 323400n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 323400n do not have complex multiplication.

Modular form 323400.2.a.n

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