Properties

Label 10944.y
Number of curves $1$
Conductor $10944$
CM no
Rank $1$

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

Elliptic curves in class 10944.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10944.y1 10944ba1 \([0, 0, 0, -18, 54]\) \(-13824/19\) \(-886464\) \([]\) \(1024\) \(-0.16626\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10944.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10944.y do not have complex multiplication.

Modular form 10944.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} - 3 q^{11} + 4 q^{13} + 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display