Properties

Label 111573.o
Number of curves $1$
Conductor $111573$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 111573.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111573.o1 111573l1 \([1, -1, 1, 14470, -131246]\) \(421875/253\) \(-200952851784993\) \([]\) \(301056\) \(1.4338\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111573.o1 has rank \(0\).

Complex multiplication

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

Modular form 111573.2.a.o

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