Properties

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

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 10944.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10944.z1 10944bb1 \([0, 0, 0, -3378, 102814]\) \(-91368216064/45001899\) \(-2099608599744\) \([]\) \(12288\) \(1.0697\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10944.z1 has rank \(1\).

Complex multiplication

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

Modular form 10944.2.a.z

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