Properties

Label 206400.fh
Number of curves $1$
Conductor $206400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("fh1")
 
E.isogeny_class()
 

Elliptic curves in class 206400.fh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206400.fh1 206400do1 \([0, -1, 0, -12833, 1113537]\) \(-456533/774\) \(-396288000000000\) \([]\) \(921600\) \(1.4918\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206400.fh1 has rank \(0\).

Complex multiplication

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

Modular form 206400.2.a.fh

sage: E.q_eigenform(10)
 
\(q - q^{3} + 5 q^{7} + q^{9} - q^{13} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display