Properties

Label 10944.u
Number of curves $1$
Conductor $10944$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 10944.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10944.u1 10944r1 \([0, 0, 0, -3378, -102814]\) \(-91368216064/45001899\) \(-2099608599744\) \([]\) \(12288\) \(1.0697\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10944.u1 has rank \(0\).

Complex multiplication

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

Modular form 10944.2.a.u

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