Properties

Label 227136.fh
Number of curves $1$
Conductor $227136$
CM no
Rank $1$

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

Elliptic curves in class 227136.fh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
227136.fh1 227136ep1 \([0, 1, 0, -216504097, -1372148819521]\) \(-20994006260678308/3063651608241\) \(-163781983291522447557328896\) \([]\) \(95846400\) \(3.7604\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227136.fh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 227136.fh do not have complex multiplication.

Modular form 227136.2.a.fh

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{5} + q^{7} + q^{9} - 3 q^{15} + 7 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display