Place numbering on graph curves (matplotlib)

Question

I have a code in Python for the simulation of a mathematical model that I am studying. To generate the graphics, I am using only the function plot() of the matplotlib, inside a for (are several curves in the same figure). It is not convenient to put the whole code here, but the structure is basically this:

import numpy as np
import matplotlib.pyplot as plt

T = np.linspace(0, 100, 1000)
L=[10,20,30]
fig1=plt.figure()

for l in L:
    plt.plot(T,T+2*l, label='size= '+str(l))

plt.legend()
plt.show()

The question is: need to place on each curve, the numbering related to the data tested, in a similar way to the image below:

Have any argument in function plot() that I can add, or any other method that I can use to do this? And also in the legend, instead of showing the color line, show the number.

Note: I know I can make each curve of a different color, thickness or drawing, but (unfortunately) for this work I need the graph to have this specific format, with the legend being indicated by the numbering, and not by colors, for example.

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EDIT (problem solved)

Based on what @darcamo did, I was able to put the numbers on the curve.

Based in that reply I was able to hide the Handles and leave the subtitles the way I wanted them.

The final code went like this:

import numpy as np
import matplotlib.pyplot as plt

T = np.linspace(0, 100, 2000)
L=[10,20,30]
fig1=plt.figure()
for n, l in enumerate(L):
    y=T+2*l
    label=str(n+1)+' => Size = '+str(l)
    plt.plot(T,y,label=label)
    y_shift=0.05*y[-1]
    plt.text(T[-200], y[-200]+y_shift, str(n+1))

leg = plt.legend(handlelength=0, handletextpad=0, fancybox=True)
for item in leg.legendHandles:
    item.set_visible(False)

plt.show()

Generating the following graph:

Answer 1

You can use plt.text to place a text in a specific location.

import numpy as np
import matplotlib.pyplot as plt

T = np.linspace(0, 100, 1000)
L=[10,20,30]


fig1=plt.figure()

for l in L:
    y = T+2*l
    plt.plot(T, y, label='size= '+str(l))
    y_shift = 5  # Um deslocamento pra cima para o texto ficar acima da curva
    plt.text(T[500], y[500] + y_shift, str(l))

plt.legend()
plt.show()

As for the legend, if all the curves are going to be the same you really need the legend? After all it will already have a text next to each curve indicating which is the numbering of the curve.