Properties

Label 323400a
Number of curves $1$
Conductor $323400$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Elliptic curves in class 323400a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
323400.a1 323400a1 \([0, -1, 0, -3033, -46563]\) \(15748096/4125\) \(808500000000\) \([]\) \(608256\) \(0.99372\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 323400a1 has rank \(2\).

Complex multiplication

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

Modular form 323400.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - q^{11} - 7 q^{13} + 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display