Properties

Label 109554r
Number of curves $1$
Conductor $109554$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 109554r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
109554.s1 109554r1 \([1, 1, 1, -4732, -127267]\) \(-12193833718273/525312\) \(-504824832\) \([]\) \(97200\) \(0.74896\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 109554r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 109554r do not have complex multiplication.

Modular form 109554.2.a.r

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + 2 q^{5} - q^{6} + q^{8} + q^{9} + 2 q^{10} - 5 q^{11} - q^{12} - 2 q^{15} + q^{16} + q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display