Properties

Label 101400.du
Number of curves $1$
Conductor $101400$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("du1")
 
E.isogeny_class()
 

Elliptic curves in class 101400.du

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101400.du1 101400ds1 \([0, 1, 0, -39433, 3591563]\) \(-8780800/2187\) \(-1688997005280000\) \([]\) \(753984\) \(1.6399\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101400.du1 has rank \(0\).

Complex multiplication

The elliptic curves in class 101400.du do not have complex multiplication.

Modular form 101400.2.a.du

sage: E.q_eigenform(10)
 
\(q + q^{3} + 5 q^{7} + q^{9} + 6 q^{11} - 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display