Properties

Label 110946.y
Number of curves $1$
Conductor $110946$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 110946.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110946.y1 110946x1 \([1, 1, 1, -1101, -76605]\) \(-87809723329/1439268864\) \(-2419410960384\) \([]\) \(181440\) \(1.0575\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110946.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 110946.y do not have complex multiplication.

Modular form 110946.2.a.y

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} + q^{7} + q^{8} + q^{9} - q^{10} + q^{11} - q^{12} - 4 q^{13} + q^{14} + q^{15} + q^{16} - 6 q^{17} + q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display