[Python] Fitting curves in an image and finding intersection points

I am working on some images to extract two curves and find their intersection points.

Doing a sobel and then applying canny edge filter pops them out.

How do I fit curves to them and find the two intersection points (which they will have for sure)?

import cv2
import numpy as np

img = cv2.imread('image6.jpg')
grad_x = cv2.Sobel(img, cv2.CV_64F, 1, 0, 3)
grad_y = cv2.Sobel(img, cv2.CV_64F, 0, 1, 3)
grad = np.sqrt(grad_x**2 + grad_y**2)
grad_norm = (grad * 255 / grad.max()).astype(np.uint8)
grad_norm = cv2.blur(grad_norm,(3,3))
cv2.imshow('Blur', grad_norm)
cv2.waitKey(0)
# Canny Edge Detection
edges = cv2.Canny(image=grad_norm, threshold1=100, threshold2=200) # Canny Edge Detection
# Display Canny Edge Detection Image
cv2.imshow('Canny Edge Detection', edges)
cv2.waitKey(0)


Original


End result

I am looking to get the red points shown above.

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