Properties

Label 323400.dh
Number of curves $1$
Conductor $323400$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("dh1")
 
E.isogeny_class()
 

Elliptic curves in class 323400.dh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
323400.dh1 323400dh1 \([0, -1, 0, -408, -15588]\) \(-240100/3267\) \(-102453120000\) \([]\) \(248832\) \(0.79431\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 323400.dh1 has rank \(1\).

Complex multiplication

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

Modular form 323400.2.a.dh

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + q^{11} - q^{13} - 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display