Properties

Label 111573u
Number of curves $1$
Conductor $111573$
CM no
Rank $1$

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

Elliptic curves in class 111573u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111573.m1 111573u1 \([1, -1, 1, -2167808, -1227969592]\) \(4505721246665691247/253\) \(63261891\) \([]\) \(967680\) \(1.8851\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111573u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 111573u do not have complex multiplication.

Modular form 111573.2.a.u

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