Properties

Label 206400.bh
Number of curves $1$
Conductor $206400$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 206400.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206400.bh1 206400je1 \([0, -1, 0, 447, -63]\) \(6015260/3483\) \(-5706547200\) \([]\) \(135168\) \(0.56154\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206400.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 206400.bh do not have complex multiplication.

Modular form 206400.2.a.bh

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{7} + q^{9} - q^{11} + q^{13} + 6 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display