Properties

Label 111573.q
Number of curves $1$
Conductor $111573$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 111573.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111573.q1 111573v1 \([1, -1, 1, -1159619, 481283660]\) \(-5862183923791/4979799\) \(-146494628951259897\) \([]\) \(1548288\) \(2.2210\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111573.q1 has rank \(1\).

Complex multiplication

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

Modular form 111573.2.a.q

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